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Update to v1.0:

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Major overhaul: All sections have been changed and improved.

  Added: Computation of the condensate fraction

  Added: Discussion and plots of correlation function and momentum distribution

  Added: Section on numerical computation

  Added: Appendices on functional analysis

  Added: Detailed analysis of the operator K_e

  Change: Parameters for numerical simulations.

  Change: Renamed "Simplified approach" to "Lieb's simplified approach"

  Added: More bibliography

  Added: Acknowledgements
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2025-02-06 15:10:06 -05:00
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22
Changelog
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v1.0:
* Major overhaul: All sections have been changed and improved.
* Added: Computation of the condensate fraction
* Added: Discussion and plots of correlation function and momentum distribution
* Added: Section on numerical computation
* Added: Appendices on functional analysis
* Added: Detailed analysis of the operator K_e
* Change: Parameters for numerical simulations.
* Change: Renamed "Simplified approach" to "Lieb's simplified approach"
* Added: More bibliography
* Added: Acknowledgements
v0.2: v0.2:
* Added: Discussion of uniqueness of the solution of the Simple Equation * Added: Discussion of uniqueness of the solution of the Simple Equation

2598
Jauslin_2023c.tex
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9
README
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This directory contains the source files to typeset the article, and generate This is a preprint of the following work: I. Jauslin, An Introduction to Lieb's
Simplified Approach, 2025, Springer. It is the version of the author's
manuscript prior to acceptance for publication and has not undergone editorial
and/or peer review on behalf of the Publisher (where applicable). The final
authenticated version is available online at:
http://dx.doi.org/10.1007/978-3-031-81393-1
This directory contains the source files to typeset the book, and generate
the figures. This can be accomplished by running the figures. This can be accomplished by running
make make

54
bibliography/bibliography.tex
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@@ -4,11 +4,17 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.1126/science.269.5221.198}{10.112
\bibitem[BCS21]{BCS21}G. Basti, S. Cenatiempo, B. Schlein - {\it A new second-order upper bound for the ground state energy of dilute Bose gases}, Forum of Mathematics, Sigma, volume\-~9, number e74, 2021,\par\penalty10000 \bibitem[BCS21]{BCS21}G. Basti, S. Cenatiempo, B. Schlein - {\it A new second-order upper bound for the ground state energy of dilute Bose gases}, Forum of Mathematics, Sigma, volume\-~9, number e74, 2021,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1017/fms.2021.66}{10.1017/fms.2021.66}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2101.06222}{2101.06222}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1017/fms.2021.66}{10.1017/fms.2021.66}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2101.06222}{2101.06222}}.\par\medskip
\bibitem[Jul]{Julia}J. Bezanson, A. Edelman, S. Karpinski, andV.B. Shah - {\it Julia: A Fresh Approach to Numerical Computing}, SIAM Review, volume\-~59, issue\-~1, pages\-~65-98, 2017,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1137/141000671}{10.1137/141000671}}.\par\medskip
\bibitem[Bo47]{Bo47}N. Bogolubov - {\it On the theory of superfluidity}, Journal of Physics (USSR), volume\-~11, number\-~1, pages\-~23-32 (translated from the Russian Izv.Akad.Nauk Ser.Fiz, volume\-~11, pages\-~77-90), 1947.\par\medskip \bibitem[Bo47]{Bo47}N. Bogolubov - {\it On the theory of superfluidity}, Journal of Physics (USSR), volume\-~11, number\-~1, pages\-~23-32 (translated from the Russian Izv.Akad.Nauk Ser.Fiz, volume\-~11, pages\-~77-90), 1947.\par\medskip
\bibitem[Bo24]{Bo24}S.N. Bose - {\it Plancks Gesetz und Lichtquantenhypothese}, Weitschrift f\"ur Physik, volume\-~26, issue\-~1, pages\-~178-181, 1924,\par\penalty10000 \bibitem[Bo24]{Bo24}S.N. Bose - {\it Plancks Gesetz und Lichtquantenhypothese}, Weitschrift f\"ur Physik, volume\-~26, issue\-~1, pages\-~178-181, 1924,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01327326}{10.1007/BF01327326}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01327326}{10.1007/BF01327326}}.\par\medskip
\bibitem[Br11]{Br11}H. Brezis - {\it Functional Analysis, Sobolev Spaces and Partial Differential Equations}, Springer New York, 2011,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/978-0-387-70914-7}{10.1007/978-0-387-70914-7}}.\par\medskip
\bibitem[CHe21]{CHe21}E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - {\it Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy}, Physical Review A, volume\-~103, issue\-~5, number\-~053309, 2021,\par\penalty10000 \bibitem[CHe21]{CHe21}E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - {\it Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy}, Physical Review A, volume\-~103, issue\-~5, number\-~053309, 2021,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevA.103.053309}{10.1103/PhysRevA.103.053309}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2011.10869}{2011.10869}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevA.103.053309}{10.1103/PhysRevA.103.053309}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2011.10869}{2011.10869}}.\par\medskip
@@ -18,9 +24,18 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.2140/paa.2020.2.659}{10.2140/paa.
\bibitem[CJL21]{CJL21}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction}, SIAM Journal on Mathematical Analysis, volume\-~53, number\-~5, pages\-~5322-5360, 2021,\par\penalty10000 \bibitem[CJL21]{CJL21}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction}, SIAM Journal on Mathematical Analysis, volume\-~53, number\-~5, pages\-~5322-5360, 2021,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1137/20M1376820}{10.1137/20M1376820}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2010.13882}{2010.13882}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1137/20M1376820}{10.1137/20M1376820}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2010.13882}{2010.13882}}.\par\medskip
\bibitem[CAL09]{CAL09}R. Combescot, F. Alzetto, X. Leyronas - {\it Particle distribution tail and related energy formula}, Physical Review A, volume\-~79, issue\-~5, number\-~053640, 2009,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevA.79.053640}{10.1103/PhysRevA.79.053640}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/0901.4303}{0901.4303}}.\par\medskip
\bibitem[DMe95]{DMe95}K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle - {\it Bose-Einstein Condensation in a Gas of Sodium Atoms}, Physical Review Letters, volume\-~75, issue\-~22, pages\-~3969-3973, 1995,\par\penalty10000 \bibitem[DMe95]{DMe95}K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle - {\it Bose-Einstein Condensation in a Gas of Sodium Atoms}, Physical Review Letters, volume\-~75, issue\-~22, pages\-~3969-3973, 1995,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.75.3969}{10.1103/PhysRevLett.75.3969}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.75.3969}{10.1103/PhysRevLett.75.3969}}.\par\medskip
\bibitem[Du06]{Du06}Y. Du - {\it Order Structure and Topological Methods in Nonlinear Partial Differential Equations: Vol 1: Maximum Principles and Applications}, Series on Partial Differential Equations and Applications, World Scientific, 2006,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1142/5999}{10.1142/5999}}.\par\medskip
\bibitem[Dy57]{Dy57}F.J. Dyson - {\it Ground-State Energy of a Hard-Sphere Gas}, Physical Review, volume\-~106, issue\-~1, pages\-~20-26, 1957,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.106.20}{10.1103/PhysRev.106.20}}.\par\medskip
\bibitem[Ei24]{Ei24}A. Einstein - {\it Quantentheorie des einatomigen idealen Gases}, Sitzungsberichte der Preussischen Akademie der Wissenschaften, volume\-~1, issue\-~3, 1924.\par\medskip \bibitem[Ei24]{Ei24}A. Einstein - {\it Quantentheorie des einatomigen idealen Gases}, Sitzungsberichte der Preussischen Akademie der Wissenschaften, volume\-~1, issue\-~3, 1924.\par\medskip
\bibitem[FS20]{FS20}S. Fournais, J.P. Solovej - {\it The energy of dilute Bose gases}, Annals of Mathematics, volume\-~192, issue\-~3, pages\-~893-976, 2020,\par\penalty10000 \bibitem[FS20]{FS20}S. Fournais, J.P. Solovej - {\it The energy of dilute Bose gases}, Annals of Mathematics, volume\-~192, issue\-~3, pages\-~893-976, 2020,\par\penalty10000
@@ -32,14 +47,20 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00222-022-01175-0}{10.1007/
\bibitem[Ga99]{Ga99}G. Gallavotti - {\it Statistical mechanics, a short treatise}, Springer, 1999,\par\penalty10000 \bibitem[Ga99]{Ga99}G. Gallavotti - {\it Statistical mechanics, a short treatise}, Springer, 1999,\par\penalty10000
{\tt\color{blue}\href{https://141.108.10.74/pagine/deposito/1998/libro.pdf}{https://141.108.10.74/pagine/deposito/1998/libro.pdf}}.\par\medskip {\tt\color{blue}\href{https://141.108.10.74/pagine/deposito/1998/libro.pdf}{https://141.108.10.74/pagine/deposito/1998/libro.pdf}}.\par\medskip
\bibitem[GHe17]{GHe17}S. Goldstein, D.A. Huse, J.L. Lebowitz, R. Tumulka - {\it Macroscopic and microscopic thermal equilibrium}, Annalen der Physik, volume\-~529, issue\-~7, number\-~1600301, 2017,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1002/andp.201600301}{10.1002/andp.201600301}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1610.02312}{1610.02312}}.\par\medskip
\bibitem[Ja22]{Ja22}I. Jauslin - {\it Review of a Simplified Approach to study the Bose gas at all densities}, The Physics and Mathematics of Elliott Lieb, The\-~90th Anniversary Volume I, chapter\-~25, pages\-~609-635, ed. Rupert L. Frank, Ari Laptev, Mathieu Lewin, Robert Seiringer, EMS Press, 2022,\par\penalty10000 \bibitem[Ja22]{Ja22}I. Jauslin - {\it Review of a Simplified Approach to study the Bose gas at all densities}, The Physics and Mathematics of Elliott Lieb, The\-~90th Anniversary Volume I, chapter\-~25, pages\-~609-635, ed. Rupert L. Frank, Ari Laptev, Mathieu Lewin, Robert Seiringer, EMS Press, 2022,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.4171/90-1/25}{10.4171/90-1/25}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2202.07637}{2202.07637}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.4171/90-1/25}{10.4171/90-1/25}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2202.07637}{2202.07637}}.\par\medskip
\bibitem[Ja23]{Ja23b}I.\-~Jauslin - {\it Evidence of a liquid phase in interacting Bosons at intermediate densities}, 2023,\par\penalty10000 \bibitem[Ja23]{Ja23}I.\-~Jauslin - {\it Evidence of a liquid phase in interacting Bosons at intermediate densities}, 2023,\par\penalty10000
arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2302.13449}{2302.13449}}.\par\medskip arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2302.13449}{2302.13449}}.\par\medskip
\bibitem[Ja23b]{Ja23}I.\-~Jauslin - {\it The Simplified approach to the Bose gas without translation invariance}, 2023,\par\penalty10000 \bibitem[Ja24]{Ja24}I. Jauslin - {\it The Simplified Approach to the Bose Gas Without Translation Invariance}, Journal of Statistical Physics, volume\-~191, issue\-~7, pages\-~1-24, 2024,\par\penalty10000
arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2302.13446}{2302.13446}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-024-03299-4}{10.1007/s10955-024-03299-4}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2302.13446}{2302.13446}}.\par\medskip
\bibitem[Ka38]{Ka38}P. Kapitza - {\it Viscosity of Liquid Helium below the $\lambda$-Point}, Nature, volume\-~141, issue\-~3558, pages\-~74-74, 1938,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1038/141074a0}{10.1038/141074a0}}.\par\medskip
\bibitem[LHY57]{LHY57}T.D. Lee, K. Huang, C.N. Yang - {\it Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties}, Physical Review, volume\-~106, issue\-~6, pages\-~1135-1145, 1957,\par\penalty10000 \bibitem[LHY57]{LHY57}T.D. Lee, K. Huang, C.N. Yang - {\it Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties}, Physical Review, volume\-~106, issue\-~6, pages\-~1135-1145, 1957,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.106.1135}{10.1103/PhysRev.106.1135}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.106.1135}{10.1103/PhysRev.106.1135}}.\par\medskip
@@ -47,6 +68,9 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.106.1135}{10.1103/Ph
\bibitem[Li63]{Li63}E.H. Lieb - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas}, Physical Review, volume\-~130, issue\-~6, pages\-~2518-2528, 1963,\par\penalty10000 \bibitem[Li63]{Li63}E.H. Lieb - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas}, Physical Review, volume\-~130, issue\-~6, pages\-~2518-2528, 1963,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.130.2518}{10.1103/PhysRev.130.2518}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.130.2518}{10.1103/PhysRev.130.2518}}.\par\medskip
\bibitem[LL63]{LL63}E.H. Lieb, W. Liniger - {\it Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State}, Physical Review, volume\-~130, issue\-~4, pages\-~1605-1616, 1963,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.130.1605}{10.1103/PhysRev.130.1605}}.\par\medskip
\bibitem[LL64]{LL64}E.H. Lieb, W. Liniger - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. III. Application to the One-Dimensional Model}, Physical Review, volume\-~134, issue\-~2A, pages A312-A315, 1964,\par\penalty10000 \bibitem[LL64]{LL64}E.H. Lieb, W. Liniger - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. III. Application to the One-Dimensional Model}, Physical Review, volume\-~134, issue\-~2A, pages A312-A315, 1964,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.134.A312}{10.1103/PhysRev.134.A312}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.134.A312}{10.1103/PhysRev.134.A312}}.\par\medskip
@@ -55,12 +79,25 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.134.A312}{10.1103/Ph
\bibitem[LS64]{LS64}E.H. Lieb, A.Y. Sakakura - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. II. Charged Bose Gas at High Density}, Physical Review, volume\-~133, issue\-~4A, pages A899-A906, 1964,\par\penalty10000 \bibitem[LS64]{LS64}E.H. Lieb, A.Y. Sakakura - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. II. Charged Bose Gas at High Density}, Physical Review, volume\-~133, issue\-~4A, pages A899-A906, 1964,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.133.A899}{10.1103/PhysRev.133.A899}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.133.A899}{10.1103/PhysRev.133.A899}}.\par\medskip
\bibitem[LSe05]{LSe05}E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason - {\it The Mathematics of the Bose Gas and its Condensation}, Oberwolfach Seminars, volume\-~34, Birkha\"user, 2005, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/0610117}{cond-mat/0610117}}.\par\medskip
\bibitem[LY98]{LY98}E.H. Lieb, J. Yngvason - {\it Ground State Energy of the Low Density Bose Gas}, Physical Review Letters, volume\-~80, issue\-~12, pages\-~2504-2507, 1998,\par\penalty10000 \bibitem[LY98]{LY98}E.H. Lieb, J. Yngvason - {\it Ground State Energy of the Low Density Bose Gas}, Physical Review Letters, volume\-~80, issue\-~12, pages\-~2504-2507, 1998,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.80.2504}{10.1103/PhysRevLett.80.2504}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/9712138}{cond-mat/9712138}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.80.2504}{10.1103/PhysRevLett.80.2504}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/9712138}{cond-mat/9712138}}.\par\medskip
\bibitem[NE17]{NE17}P. Naidon, S. Endo - {\it Efimov physics: a review}, Reports on Progress in Physics, volume\-~80, number\-~056001, 2017,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1088/1361-6633/aa50e8}{10.1088/1361-6633/aa50e8}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1610.09805}{1610.09805}}.\par\medskip
\bibitem[Op31]{Op31}J.R. Oppenheimer - {\it Note on Light Quanta and the Electromagnetic Field}, Physical Review, volume\-~38, issue\-~4, pages\-~725-746, 1931,\par\penalty10000 \bibitem[Op31]{Op31}J.R. Oppenheimer - {\it Note on Light Quanta and the Electromagnetic Field}, Physical Review, volume\-~38, issue\-~4, pages\-~725-746, 1931,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.38.725}{10.1103/PhysRev.38.725}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.38.725}{10.1103/PhysRev.38.725}}.\par\medskip
\bibitem[PS16]{PS16}L. Pitaevskii, S. Stringari - {\it Bose-Einstein Condensation and Superfluidity}, Oxford University Press, 2016,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1093/acprof:oso/9780198758884.001.0001}{10.1093/acprof:oso/9780198758884.001.0001}}.\par\medskip
\bibitem[RS75]{RS75b}M. Reed, B. Simon - {\it Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness}, second edition, Academic Press, New York, 1975.\par\medskip
\bibitem[RS39]{RS39}B. Rollin, F. Simon - {\it On the ``film'' phenomenon of liquid helium II}, Physica, volume\-~6, issue\-~2, pages\-~219-230, 1939,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/S0031-8914(39)80013-1}{10.1016/S0031-8914(39)80013-1}}.\par\medskip
\bibitem[Ru99]{Ru99}D. Ruelle - {\it Statistical mechanics: rigorous results}, Imperial College Press, World Scientific, (first edition: Benjamin, 1969), 1999.\par\medskip \bibitem[Ru99]{Ru99}D. Ruelle - {\it Statistical mechanics: rigorous results}, Imperial College Press, World Scientific, (first edition: Benjamin, 1969), 1999.\par\medskip
\bibitem[Sc22]{Sc22}B. Schlein - {\it Bose gases in the Gross-Pitaevskii limit: A survey of some rigorous results}, The Physics and Mathematics of Elliott Lieb, The\-~90th anniversary volume II, eds R.L. Frank, A. Laptev, M. Lewin, R. Seiringer, pages\-~277-305, 2022,\par\penalty10000 \bibitem[Sc22]{Sc22}B. Schlein - {\it Bose gases in the Gross-Pitaevskii limit: A survey of some rigorous results}, The Physics and Mathematics of Elliott Lieb, The\-~90th anniversary volume II, eds R.L. Frank, A. Laptev, M. Lewin, R. Seiringer, pages\-~277-305, 2022,\par\penalty10000
@@ -69,12 +106,21 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.4171/90-2/40}{10.4171/90-2/40}},
\bibitem[Se11]{Se11}R. Seiringer - {\it The Excitation Spectrum for Weakly Interacting Bosons}, Communications in Mathematical Physics, volume\-~306, issue\-~2, pages\-~565-578, 2011,\par\penalty10000 \bibitem[Se11]{Se11}R. Seiringer - {\it The Excitation Spectrum for Weakly Interacting Bosons}, Communications in Mathematical Physics, volume\-~306, issue\-~2, pages\-~565-578, 2011,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00220-011-1261-6}{10.1007/s00220-011-1261-6}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1008.5349}{1008.5349}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00220-011-1261-6}{10.1007/s00220-011-1261-6}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1008.5349}{1008.5349}}.\par\medskip
\bibitem[Ta08]{Ta08}S. Tan - {\it Energetics of a strongly correlated Fermi gas}, Annals of Physics, volume\-~323, issue\-~12, pages\-~2952-2970, 2008,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/j.aop.2008.03.004}{10.1016/j.aop.2008.03.004}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/0505200}{cond-mat/0505200}}.\par\medskip
\bibitem[Ta08b]{Ta08b}S. Tan - {\it Large momentum part of a strongly correlated Fermi gas}, Annals of Physics, volume\-~323, issue\-~12, pages\-~2971-2986, 2008,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/j.aop.2008.03.005}{10.1016/j.aop.2008.03.005}}.\par\medskip
\bibitem[Ta08c]{Ta08c}S. Tan - {\it Generalized virial theorem and pressure relation for a strongly correlated Fermi gas}, Annals of Physics, volume\-~323, issue\-~12, pages\-~2987-2990, 2008,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/j.aop.2008.03.003}{10.1016/j.aop.2008.03.003}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/0803.0841}{0803.0841}}.\par\medskip
\bibitem[Te14]{Te14}G. Teschl - {\it Mathematical Methods in Quantum Mechanics With Applications to Schr\"odinger Operators}, Second Edition, Graduate Studies in Mathematics, volume\-~157, AMS, 2014,\par\penalty10000 \bibitem[Te14]{Te14}G. Teschl - {\it Mathematical Methods in Quantum Mechanics With Applications to Schr\"odinger Operators}, Second Edition, Graduate Studies in Mathematics, volume\-~157, AMS, 2014,\par\penalty10000
{\tt\color{blue}\href{https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe2.pdf}{https://www.mat.univie.ac.at/$\sim$gerald/ftp/book-schroe/schroe2.pdf}}.\par\medskip {\tt\color{blue}\href{https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe2.pdf}{https://www.mat.univie.ac.at/$\sim$gerald/ftp/book-schroe/schroe2.pdf}}.\par\medskip
\bibitem[YY09]{YY09}H. Yau, J. Yin - {\it The Second Order Upper Bound for the Ground Energy of a Bose Gas}, Journal of Statistical Physics, volume\-~136, issue\-~3, pages\-~453-503, 2009,\par\penalty10000 \bibitem[YY09]{YY09}H. Yau, J. Yin - {\it The Second Order Upper Bound for the Ground Energy of a Bose Gas}, Journal of Statistical Physics, volume\-~136, issue\-~3, pages\-~453-503, 2009,\par\penalty10000
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-009-9792-3}{10.1007/s10955-009-9792-3}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/0903.5347}{0903.5347}}.\par\medskip doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-009-9792-3}{10.1007/s10955-009-9792-3}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/0903.5347}{0903.5347}}.\par\medskip
\bibitem[JaSS]{ss}I.\-~Jauslin - {\tt simplesolv} software package v0.4.1,\par\penalty10000 \bibitem[JaSS]{ss}I.\-~Jauslin - {\tt simplesolv} software package v0.4.2,\par\penalty10000
{\tt\color{blue}\href{http://ian.jauslin.org/software/simplesolv}{http://ian.jauslin.org/software/simplesolv}}.\par\medskip {\tt\color{blue}\href{http://ian.jauslin.org/software/simplesolv}{http://ian.jauslin.org/software/simplesolv}}.\par\medskip

8
figs/condensate.fig/2020-08-27+0.5.dat
View File

@@ -1,8 +0,0 @@
# potential: 0.5 e^{-|x|}
# rho E 1-eta Jastrow E
1e-3 0.005189 0.978 0.005193
5e-3 0.027389 0.961 0.027395
1e-2 0.056223 0.959 0.05624
2e-2 0.11530 0.954 0.11530
1e-1 0.6037 0.953 0.60377
1e+0 6.221 0.97 6.22

15
figs/condensate.fig/2020-10-15+energy.dat Normal file
View File

@@ -0,0 +1,15 @@
# Potential: e^{-|x|}
# rho E E+dE eta eta+deta Jastrow E Jastrow E+dE Jastrow eta Jastrow eta+deta
1e-6 7.90e-6 7.91e-6
1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016
1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046
5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071
1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074
1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089
2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091
5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092
1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086
1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06
1e+1 1.2544e+2 1.2545e+2 0.031 0.032
5e+1 6.2803e+2 6.2804e+2 0.02 0.03

8
figs/condensate.fig/Makefile
View File

@@ -1,6 +1,6 @@
PROJECTNAME=condensate PROJECTNAME=condensate
SIMPLESOLV= # path/to/simplesolv SIMPLESOLV=simplesolv
DATS=simpleq.dat medeq.dat bigeq.dat DATS=simpleq.dat medeq.dat bigeq.dat
PDFS=$(addsuffix .pdf, $(PROJECTNAME)) PDFS=$(addsuffix .pdf, $(PROJECTNAME))
@@ -13,11 +13,11 @@ $(PDFS): $(DATS)
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
simpleq.dat: simpleq.dat:
julia $(SIMPLESOLV)/main.jl -p "eq=simpleq;tolerance=1e-11;order=100;maxiter=100;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@ julia $(SIMPLESOLV)/main.jl -p "eq=simpleq;tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@
medeq.dat: medeq.dat:
julia $(SIMPLESOLV)/main.jl -p "eq=medeq;tolerance=1e-11;order=100;maxiter=100;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@ julia $(SIMPLESOLV)/main.jl -p "eq=medeq;tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@
bigeq.dat: bigeq.dat:
julia -p 8 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M anyeq -U exp condensate_fraction_rho > $@ julia -p 8 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M anyeq -U exp condensate_fraction_rho > $@
install: $(PDFS) install: $(PDFS)

200
figs/condensate.fig/bigeq.dat
View File

@@ -1,100 +1,100 @@
1.000000000000000e-06 9.359600849904642e-04 4.769492271009877e-12 1.000000000000000e-06 1.942109553368934e-03 1.703892181565308e-12
1.204503540258781e-06 1.026263695589573e-03 3.419474268720360e-12 1.204503540258781e-06 2.146305339374016e-03 3.498683577543303e-13
1.450828778495940e-06 1.128447423932415e-03 1.284844855728227e-12 1.450828778495940e-06 2.375707110893226e-03 1.108062279102853e-13
1.747528400007683e-06 1.243211901088135e-03 6.036870814265909e-14 1.747528400007683e-06 2.632078470522144e-03 6.467318565151626e-13
2.104904144512022e-06 1.371540352505089e-03 1.465826916259999e-12 2.104904144512022e-06 2.916016357528351e-03 2.540570938430033e-13
2.535364493970111e-06 1.514563172953764e-03 5.278911635708756e-12 2.535364493970111e-06 3.226985049923774e-03 1.880097090839374e-14
3.053855508833412e-06 1.673162936456016e-03 6.438854837197395e-12 3.053855508833412e-06 3.564794029743137e-03 3.224114286437645e-14
3.678379771828634e-06 1.847621600906275e-03 3.277884092656937e-12 3.678379771828634e-06 3.930808866490014e-03 2.221945352717278e-14
4.430621457583877e-06 2.037906626012430e-03 6.922442639580641e-13 4.430621457583877e-06 4.327894318800521e-03 2.988930693430499e-13
5.336699231206313e-06 2.244403765508714e-03 4.301594724689213e-14 5.336699231206313e-06 4.759788787286802e-03 8.111081575994107e-13
6.428073117284319e-06 2.468275249347463e-03 3.149478739794029e-14 6.428073117284319e-06 5.230614985680913e-03 1.258065697646492e-12
7.742636826811277e-06 2.711300000206942e-03 1.692972150200860e-14 7.742636826811277e-06 5.744656431008814e-03 1.460046826581123e-12
9.326033468832200e-06 2.975586773983234e-03 2.485257044540253e-14 9.326033468832200e-06 6.306305230899653e-03 1.407161425634886e-12
1.123324032978027e-05 3.263387610365739e-03 5.798705939542849e-14 1.123324032978027e-05 6.920090142869145e-03 1.190981359735810e-12
1.353047774579808e-05 3.577021358160436e-03 1.007850792994357e-13 1.353047774579808e-05 7.590732558864229e-03 9.122901279352722e-13
1.629750834620643e-05 3.918861287982854e-03 1.180879418675055e-13 1.629750834620643e-05 8.323202849857715e-03 6.270289430169137e-13
1.963040650040272e-05 4.291351386383927e-03 1.164548699163096e-13 1.963040650040273e-05 9.122763228289123e-03 3.925181882387629e-13
2.364489412645407e-05 4.697030635602372e-03 9.993404840576712e-14 2.364489412645407e-05 9.994992295856403e-03 2.176623373058189e-13
2.848035868435805e-05 5.138553215636342e-03 7.889857713883516e-14 2.848035868435805e-05 1.094579252998496e-02 1.025679957698582e-13
3.430469286314919e-05 5.618698153738680e-03 5.544933866100784e-14 3.430469286314919e-05 1.198138470962951e-02 4.446503681463166e-14
4.132012400115334e-05 6.140366567754929e-03 3.505040625564625e-14 4.132012400115334e-05 1.310829267884634e-02 4.137928233467580e-14
4.977023564332114e-05 6.706568098963386e-03 2.719353007326749e-14 4.977023564332114e-05 1.433331904430108e-02 2.191559554220355e-14
5.994842503189409e-05 7.320399534465997e-03 2.419046911428554e-14 5.994842503189409e-05 1.566350903662294e-02 4.572455340006895e-14
7.220809018385471e-05 7.985017865199253e-03 2.911321693643152e-14 7.220809018385471e-05 1.710609697905486e-02 6.770402333818719e-14
8.697490026177834e-05 8.703608059981844e-03 1.665264019357716e-14 8.697490026177834e-05 1.866842788549996e-02 8.932265893433215e-14
1.047615752789665e-04 9.479343964932427e-03 1.735486882457866e-14 1.047615752789665e-04 2.035784556483124e-02 1.196697489966784e-13
1.261856883066021e-04 1.031533974401874e-02 1.231730471561613e-14 1.261856883066021e-04 2.218153856075888e-02 1.344066618980686e-13
1.519911082952935e-04 1.121458911634652e-02 1.063694582767876e-14 1.519911082952935e-04 2.414633716634288e-02 1.498580520903701e-13
1.830738280295370e-04 1.217988982497501e-02 2.605952558828706e-14 1.830738280295370e-04 2.625845903083305e-02 1.703199263576754e-13
2.205130739903046e-04 1.321375095073367e-02 1.948459628184608e-14 2.205130739903046e-04 2.852320623356841e-02 2.059032154056898e-13
2.656087782946686e-04 1.431828101890961e-02 2.204861946752505e-14 2.656087782946686e-04 3.094462030310774e-02 2.649874100448320e-13
3.199267137797384e-04 1.549505586477500e-02 3.187650388653336e-14 3.199267137797384e-04 3.352510130283917e-02 3.620676600639075e-13
3.853528593710532e-04 1.674496732600098e-02 3.041558319770699e-14 3.853528593710532e-04 3.626499357636272e-02 4.981479785303422e-13
4.641588833612782e-04 1.806805674261242e-02 3.132688775353608e-14 4.641588833612782e-04 3.916213796873853e-02 6.807368079291685e-13
5.590810182512228e-04 1.946333993043477e-02 3.849130191836202e-14 5.590810182512228e-04 4.221139295729241e-02 9.134513034774528e-13
6.734150657750828e-04 2.092863160214499e-02 5.858344140792253e-14 6.734150657750829e-04 4.540413735766666e-02 1.205528581677277e-12
8.111308307896872e-04 2.246037686139622e-02 8.179691054969686e-14 8.111308307896872e-04 4.872778289124630e-02 1.568949452498044e-12
9.770099572992256e-04 2.405349636533224e-02 1.097457892783796e-13 9.770099572992256e-04 5.216533970595963e-02 2.015118203476142e-12
1.176811952434999e-03 2.570125163577371e-02 1.510104805632382e-13 1.176811952434999e-03 5.569508543805842e-02 2.551669303185905e-12
1.417474162926806e-03 2.739513888148153e-02 2.017323906157568e-13 1.417474162926806e-03 5.929038677878887e-02 3.175372864881421e-12
1.707352647470692e-03 2.912482328833103e-02 2.635554179184661e-13 1.707352647470692e-03 6.291971608616283e-02 3.882748754334163e-12
2.056512308348653e-03 3.087812926296352e-02 3.398621654197443e-13 2.056512308348653e-03 6.654690006616489e-02 4.659084405942384e-12
2.477076355991711e-03 3.264110309962052e-02 4.285413087823841e-13 2.477076355991711e-03 7.013163338409005e-02 5.480661374593700e-12
2.983647240283340e-03 3.439816133650226e-02 5.302517700005698e-13 2.983647240283340e-03 7.363028124471017e-02 6.316590634558651e-12
3.593813663804629e-03 3.613233114795761e-02 6.403992903217449e-13 3.593813663804629e-03 7.699697503714183e-02 7.128674651525565e-12
4.328761281083062e-03 3.782558079607085e-02 7.571924192093096e-13 4.328761281083062e-03 8.018497399760373e-02 7.877874609061305e-12
5.214008287999690e-03 3.945923077971335e-02 8.735665611670509e-13 5.214008287999690e-03 8.314823038317494e-02 8.538026465660376e-12
6.280291441834260e-03 4.101443056577509e-02 9.852419079005244e-13 6.280291441834260e-03 8.584306446524691e-02 9.099769887047538e-12
7.564633275546291e-03 4.247268081094784e-02 1.086591967833584e-12 7.564633275546291e-03 8.822983441116683e-02 9.571378644000958e-12
9.111627561154896e-03 4.381637597402372e-02 1.171028110980761e-12 9.111627561154896e-03 9.027447738987024e-02 9.973088544275404e-12
1.097498765493057e-02 4.502933773539811e-02 1.235182529056386e-12 1.097498765493057e-02 9.194980335480014e-02 5.707298604830366e-15
1.321941148466031e-02 4.609730735888347e-02 1.273413495244793e-12 1.321941148466031e-02 9.323644239909147e-02 2.236642932276469e-15
1.592282793341094e-02 4.700836649313180e-02 1.288870490747045e-12 1.592282793341094e-02 9.412337871579965e-02 3.818273556875356e-15
1.917910261672489e-02 4.775326110412755e-02 1.277774794460160e-12 1.917910261672489e-02 9.460804461986098e-02 2.863166776079390e-15
2.310129700083163e-02 4.832561126937697e-02 1.245436832753992e-12 2.310129700083163e-02 9.469599047589763e-02 7.606493498873433e-15
2.782559402207126e-02 4.872199901018250e-02 1.194094596784815e-12 2.782559402207126e-02 9.440018420864441e-02 6.080103452581663e-15
3.351602650938848e-02 4.894193587141005e-02 1.129149381775895e-12 3.351602650938848e-02 9.374002219812780e-02 3.083356625181509e-15
4.037017258596558e-02 4.898772053354203e-02 1.056418952921306e-12 4.037017258596558e-02 9.274014892270253e-02 5.838055713678461e-15
4.862601580065354e-02 4.886420356210291e-02 9.797825696635614e-13 4.862601580065353e-02 9.142918537606674e-02 3.812471278126726e-15
5.857020818056673e-02 4.857848093382484e-02 9.036039641219436e-13 5.857020818056673e-02 8.983845786885922e-02 3.479781772971571e-15
7.054802310718646e-02 4.813954002928141e-02 8.309184154224132e-13 7.054802310718646e-02 8.800080253953163e-02 4.095456502711577e-15
8.497534359086456e-02 4.755788150120432e-02 7.632736986718884e-13 8.497534359086456e-02 8.594950044874679e-02 3.414793983070260e-15
1.023531021899027e-01 4.684513825031006e-02 7.009835850851132e-13 1.023531021899027e-01 8.371737694576754e-02 3.155556589572959e-15
1.232846739442068e-01 4.601370925687214e-02 6.445926849679039e-13 1.232846739442068e-01 8.133607971796465e-02 2.369269139662675e-15
1.484968262254467e-01 4.507642184667945e-02 5.938594915648704e-13 1.484968262254467e-01 7.883553421608221e-02 2.157322104812242e-15
1.788649529057435e-01 4.404623166683212e-02 5.471692016966516e-13 1.788649529057435e-01 7.624356368689571e-02 1.060845849456845e-15
2.154434690031887e-01 4.293596563723694e-02 5.037037371246892e-13 2.154434690031887e-01 7.358565378623991e-02 9.990458088239552e-12
2.595024211399737e-01 4.175810970901533e-02 4.628803528432183e-13 2.595024211399737e-01 7.088483813931573e-02 9.249143363483862e-12
3.125715849688241e-01 4.052464054410850e-02 4.243706234593440e-13 3.125715849688241e-01 6.816168046545600e-02 8.462466944555421e-12
3.764935806792471e-01 3.924689825998715e-02 3.870128277902043e-13 3.764935806792472e-01 6.543433014400629e-02 7.654942833393022e-12
4.534878508128591e-01 3.793549610670589e-02 3.506993848968064e-13 4.534878508128591e-01 6.271863059756932e-02 6.847955614735134e-12
5.462277217684348e-01 3.660026225836260e-02 3.158617612429666e-13 5.462277217684348e-01 6.002826298435552e-02 6.060204541059616e-12
6.579332246575682e-01 3.525020868323555e-02 2.820376102788483e-13 6.579332246575682e-01 5.737491096275597e-02 5.306468822448886e-12
7.924828983539185e-01 3.389352218106337e-02 2.495811928366868e-13 7.924828983539186e-01 5.476843541171939e-02 4.598734421055893e-12
9.545484566618347e-01 3.253757302873513e-02 2.187355418163057e-13 9.545484566618347e-01 5.221705077987828e-02 3.945597435483445e-12
1.149756995397738e+00 3.118893716272646e-02 1.896018293540065e-13 1.149756995397738e+00 4.972749710963156e-02 3.351892642949585e-12
1.384886371393875e+00 2.985342837493234e-02 1.627002158331657e-13 1.384886371393875e+00 4.730520372037416e-02 2.820930993371590e-12
1.668100537200059e+00 2.853613755533530e-02 1.381782671776070e-13 1.668100537200059e+00 4.495444206059343e-02 2.352096121405255e-12
2.009233002565050e+00 2.724147654488262e-02 1.162433870344956e-13 2.009233002565050e+00 4.267846639795295e-02 1.943519312252290e-12
2.420128264794383e+00 2.597322464354741e-02 9.667411489592391e-14 2.420128264794383e+00 4.047964186603246e-02 1.592154094508708e-12
2.915053062825182e+00 2.473457624087447e-02 7.921718375131266e-14 2.915053062825182e+00 3.835955998329765e-02 1.293612913170876e-12
3.511191734215135e+00 2.352818839610205e-02 6.467146452368413e-14 3.511191734215135e+00 3.631914215746366e-02 1.042304246853194e-12
4.229242874389508e+00 2.235622749416585e-02 5.197716963886527e-14 4.229242874389508e+00 3.435873193385845e-02 8.334073132354763e-13
5.094138014816386e+00 2.122041434752589e-02 4.164284351060715e-14 5.094138014816386e+00 3.247817687937035e-02 6.605143262530183e-13
6.135907273413176e+00 2.012206730828386e-02 3.267501010541636e-14 6.135907273413176e+00 3.067690104581894e-02 5.199587559531442e-13
7.390722033525790e+00 1.906214310748888e-02 2.631758984864249e-14 7.390722033525790e+00 2.895396895283033e-02 4.063077569699647e-13
8.902150854450392e+00 1.804127525584338e-02 1.984138301410465e-14 8.902150854450392e+00 2.730814199012906e-02 3.150233501240136e-13
1.072267222010325e+01 1.705980992860735e-02 1.572328524590868e-14 1.072267222010325e+01 2.573792807837651e-02 2.426172105183155e-13
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1.873817422860387e+01 1.435166393772974e-02 7.775425060459825e-15 1.873817422860387e+01 2.146312296044941e-02 1.059913185692761e-13
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6.892612104349709e+01 9.342594259386548e-03 4.878151124718388e-15 6.892612104349709e+01 1.375856030036783e-02 1.398489991139448e-14
8.302175681319753e+01 8.763890317430715e-03 6.408523490975994e-15 8.302175681319753e+01 1.288392037060158e-02 1.067384461164944e-14
1.000000000000000e+02 8.216161414267099e-03 7.308726309426102e-15 1.000000000000000e+02 1.205888314637288e-02 8.541168489759710e-15

19
figs/condensate.fig/condensate.gnuplot
View File

@@ -8,14 +8,14 @@ unset mxtics
#set ytics 0.6, 0.1 #set ytics 0.6, 0.1
set mytics 2 set mytics 2
set xrange [4e-8:100] set xrange [1e-8:100]
set yrange [:0.06] set yrange [0.9:1]
# default output canvas size: 12.5cm x 8.75cm # default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone set term lua tikz size 8,6 standalone
set key top left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3 set key bottom left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle # set linestyle
@@ -30,12 +30,13 @@ set pointsize 1
set logscale x set logscale x
a=0.7666858699084325 #a=0.7666858699084325
a=1.2543564105910647
plot \ plot \
"simpleq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 1 title "simple",\ "simpleq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 1 title "simple",\
"medeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 3 title "med",\ "medeq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 3 title "med",\
"bigeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 5 title "big",\ "bigeq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 5 title "big",\
"2020-08-27+0.5.dat" using 1:(1-$3) with points ls 2 title "QMC" ,\ "2020-10-15+energy.dat" using 1:(1-$4) with points ls 2 title "QMC" ,\
8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog" 1-8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog"

200
figs/condensate.fig/medeq.dat
View File

@@ -1,100 +1,100 @@
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@@ -0,0 +1,102 @@
# Potential: 16 e^{-|x|}, rho=0.02
# |x| 2-pt correlation
0.04641589 0.00532330 0.00040199 0.00532330 0.00040199 0.00000000 0.00000000 0.00000000 0.00000000
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0.23207944 0.00605816 0.00017567 0.00605816 0.00017567 0.00000000 0.00000000 0.00000000 0.00000000
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102
figs/correlation.fig/2020-10-01+correlation16-0001.dat Normal file
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@@ -0,0 +1,102 @@
# Potential: 16e^{-|x|}, rho=0.0001
# |x| 2-pt correlation
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50.75960943 0.99722299 0.00006422 0.99722299 0.00006422 0.00000000 0.00000000 0.00000000 0.00000000
51.30249295 0.99714860 0.00006169 0.99714860 0.00006169 0.00000000 0.00000000 0.00000000 0.00000000
51.84537648 0.99721508 0.00006177 0.99721508 0.00006177 0.00000000 0.00000000 0.00000000 0.00000000
52.38826000 0.99720793 0.00005989 0.99720793 0.00005989 0.00000000 0.00000000 0.00000000 0.00000000
52.93114352 0.99716324 0.00006092 0.99716324 0.00006092 0.00000000 0.00000000 0.00000000 0.00000000
53.47402705 0.99723903 0.00005925 0.99723903 0.00005925 0.00000000 0.00000000 0.00000000 0.00000000
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43
figs/correlation.fig/Makefile Normal file
View File

@@ -0,0 +1,43 @@
PROJECTNAME=correlation0001 correlation02
SIMPLESOLV=simplesolv
DATS=bigeq02.dat medeq02.dat simpleq02.dat bigeq0001.dat simpleq0001.dat medeq0001.dat
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME))
all: $(PDFS)
$(PDFS): $(DATS)
gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@)
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
simpleq0001.dat:
julia $(SIMPLESOLV)/main.jl -p "rho=1e-4;minlrho_init=-6;nlrho_init=20;v_a=16;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;xmin=0;nx=100;xmax=55" -M simpleq-Kv -U exp 2pt > $@
medeq0001.dat:
julia $(SIMPLESOLV)/main.jl -p "rho=1e-4;minlrho_init=-6;nlrho_init=20;v_a=16;eq=medeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;xmin=0;nx=100;xmax=55" -M anyeq -U exp 2pt > $@
bigeq0001.dat:
julia $(SIMPLESOLV)/main.jl -p "rho=1e-4;minlrho_init=-6;nlrho_init=20;v_a=16;eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;xmin=0;nx=100;xmax=55" -M anyeq -U exp 2pt > $@
simpleq02.dat:
julia $(SIMPLESOLV)/main.jl -p "rho=2e-2;minlrho_init=-6;nlrho_init=60;v_a=16;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;xmin=0;nx=100;xmax=10" -M simpleq-Kv -U exp 2pt > $@
medeq02.dat:
julia $(SIMPLESOLV)/main.jl -p "rho=2e-2;minlrho_init=-6;nlrho_init=60;v_a=16;eq=medeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;xmin=0;nx=100;xmax=10" -M anyeq -U exp 2pt > $@
bigeq02.dat:
julia $(SIMPLESOLV)/main.jl -p "rho=2e-2;minlrho_init=-6;nlrho_init=60;v_a=16;eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;xmin=0;nx=100;xmax=10" -M anyeq -U exp 2pt > $@
install: $(PDFS)
cp $^ $(INSTALLDIR)/
clean-aux:
rm -f $(addsuffix .tikz.tex, $(PROJECTNAME))
rm -f $(addsuffix .aux, $(PROJECTNAME))
rm -f $(addsuffix .log, $(PROJECTNAME))
clean-dat:
rm -f $(DATS)
clean-tex:
rm -f $(PDFS)
clean: clean-aux clean-tex

100
figs/correlation.fig/bigeq0001.dat Normal file
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@@ -0,0 +1,100 @@
5.500000000000000e-01 2.748373416095254e-13
1.100000000000000e+00 1.834632205739307e-12
1.650000000000000e+00 1.006103257385194e-11
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2.750000000000000e+00 1.200980757396519e-10
3.300000000000000e+00 2.840028004672585e-10
3.850000000000000e+00 5.577942919610371e-10
4.400000000000000e+00 9.481217136155442e-10
4.950000000000000e+00 1.441127288444164e-09
5.500000000000000e+00 2.009269571033064e-09
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9.350000000000000e+00 5.972925846796264e-09
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1.045000000000000e+01 6.774541157402508e-09
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4.345000000000000e+01 9.986105657670398e-09
4.400000000000000e+01 9.985609928063201e-09
4.455000000000000e+01 9.985784503348727e-09
4.510000000000000e+01 9.987397598283339e-09
4.565000000000000e+01 9.989738265597116e-09
4.620000000000000e+01 9.991242189426828e-09
4.675000000000000e+01 9.990960074805839e-09
4.730000000000000e+01 9.989494465822894e-09
4.785000000000000e+01 9.988469478004350e-09
4.840000000000000e+01 9.989106084291852e-09
4.895000000000000e+01 9.991276624530458e-09
4.950000000000000e+01 9.993764569038780e-09
5.005000000000000e+01 9.995267000378541e-09
5.060000000000000e+01 9.995190771285488e-09
5.115000000000000e+01 9.993869468248990e-09
5.170000000000000e+01 9.992214493876167e-09
5.225000000000000e+01 9.991309205495112e-09
5.280000000000000e+01 9.991787178348039e-09
5.335000000000000e+01 9.993487953351598e-09
5.390000000000000e+01 9.995560208236071e-09
5.445000000000000e+01 9.997075655674568e-09
5.500000000000000e+01 9.997588125688841e-09

100
figs/correlation.fig/bigeq02.dat Normal file
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@@ -0,0 +1,100 @@
1.000000000000000e-01 2.815645668702599e-07
2.000000000000000e-01 3.771201995017265e-07
3.000000000000000e-01 5.573083439993743e-07
4.000000000000000e-01 8.556251627958312e-07
5.000000000000000e-01 1.320674217324608e-06
6.000000000000000e-01 2.018694725059655e-06
7.000000000000000e-01 3.035072077005807e-06
8.000000000000000e-01 4.474473100824606e-06
9.000000000000000e-01 6.463169864770102e-06
1.000000000000000e+00 9.145824377893575e-06
1.100000000000000e+00 1.268065874031521e-05
1.200000000000000e+00 1.723697883125886e-05
1.300000000000000e+00 2.298641995034845e-05
1.400000000000000e+00 3.009340795508376e-05
1.500000000000000e+00 3.870378505052188e-05
1.600000000000000e+00 4.893439939736385e-05
1.700000000000000e+00 6.086815836828248e-05
1.800000000000000e+00 7.454040323990952e-05
1.900000000000000e+00 8.992947608336824e-05
2.000000000000000e+00 1.069578478121014e-04
2.100000000000000e+00 1.254917813401446e-04
2.200000000000000e+00 1.453456861558193e-04
2.300000000000000e+00 1.662829558495013e-04
2.400000000000000e+00 1.880235498245581e-04
2.500000000000000e+00 2.102631019307804e-04
2.600000000000000e+00 2.326800099021661e-04
2.700000000000000e+00 2.549475411844159e-04
2.800000000000000e+00 2.767498310631322e-04
2.900000000000000e+00 2.977891460952947e-04
3.000000000000000e+00 3.177970059564313e-04
3.100000000000000e+00 3.365398251332886e-04
3.200000000000000e+00 3.538276894692456e-04
3.300000000000000e+00 3.695227606507143e-04
3.400000000000000e+00 3.835298625242662e-04
3.500000000000000e+00 3.957945216412486e-04
3.600000000000000e+00 4.063058424765387e-04
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3.800000000000000e+00 4.222258495380545e-04
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5.300000000000000e+00 4.142752266215255e-04
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5.500000000000000e+00 4.087764640179005e-04
5.600000000000000e+00 4.062986163033598e-04
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5.800000000000000e+00 4.020023512522622e-04
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6.000000000000000e+00 3.986479410743549e-04
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6.300000000000000e+00 3.953634402182200e-04
6.400000000000000e+00 3.947016475514069e-04
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6.800000000000000e+00 3.938271252610276e-04
6.900000000000000e+00 3.939535337225028e-04
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8.000000000000000e+00 3.987132916951087e-04
8.100000000000000e+00 3.991310569263629e-04
8.199999999999999e+00 3.995148186075981e-04
8.300000000000001e+00 3.998610349357616e-04
8.400000000000000e+00 4.001663085173719e-04
8.500000000000000e+00 4.004299880400858e-04
8.600000000000000e+00 4.006532574836569e-04
8.699999999999999e+00 4.008360199803870e-04
8.800000000000001e+00 4.009797694514637e-04
8.900000000000000e+00 4.010873950339038e-04
9.000000000000000e+00 4.011614782779822e-04
9.100000000000000e+00 4.012045847492319e-04
9.199999999999999e+00 4.012185293630343e-04
9.300000000000001e+00 4.012064074730059e-04
9.400000000000000e+00 4.011720950022674e-04
9.500000000000000e+00 4.011186205709775e-04
9.600000000000000e+00 4.010502350510486e-04
9.699999999999999e+00 4.009708050953865e-04
9.800000000000001e+00 4.008825998897835e-04
9.900000000000000e+00 4.007873038383584e-04
1.000000000000000e+01 4.006865033429884e-04

30
figs/correlation.fig/correlation0001.gnuplot Normal file
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@@ -0,0 +1,30 @@
set title "$\\rho=0.0001$"
set ylabel "$\\frac{C_2}{\\rho^2}$" norotate offset -1,0
set xlabel "$|x|$"
set yrange [:1.1]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key bottom right box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
set style line 2 linetype rgbcolor "#DC143C" linewidth 1
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
set style line 6 linetype rgbcolor "#555500" linewidth 2
set pointsize 0.5
rho=1e-4
plot \
"simpleq0001.dat" using 1:($2/rho**2) with lines ls 1 title "simple",\
"medeq0001.dat" using 1:($2/rho**2) with lines ls 3 title "med",\
"bigeq0001.dat" using 1:($2/rho**2) with lines ls 5 title "big",\
"2020-10-01+correlation16-0001.dat" using 1:2 ls 2 title "QMC"

28
figs/correlation.fig/correlation02.gnuplot Normal file
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@@ -0,0 +1,28 @@
set title "$\\rho=0.02$"
set ylabel "$\\frac{C_2}{\\rho^2}$" norotate offset -1,0
set xlabel "$|x|$"
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key bottom right box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
set style line 2 linetype rgbcolor "#DC143C" linewidth 1
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
set style line 6 linetype rgbcolor "#555500" linewidth 2
set pointsize 0.5
rho=2e-2
plot \
"simpleq02.dat" using 1:($2/rho**2) with lines ls 1 title "simple",\
"medeq02.dat" using 1:($2/rho**2) with lines ls 3 title "med",\
"bigeq02.dat" using 1:($2/rho**2) with lines ls 5 title "big",\
"2020-08-27+correlation.dat" using 1:2 ls 2 title "QMC"

100
figs/correlation.fig/medeq0001.dat Normal file
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@@ -0,0 +1,100 @@
5.500000000000000e-01 7.158080872531666e-13
1.100000000000000e+00 3.626142960805462e-12
1.650000000000000e+00 1.677879069714498e-11
2.200000000000000e+00 6.039376946866293e-11
2.750000000000000e+00 1.688430118314096e-10
3.300000000000000e+00 3.803656767070765e-10
3.850000000000000e+00 7.197909524714375e-10
4.400000000000000e+00 1.187305264981955e-09
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8.800000000000001e+00 6.029579416648153e-09
9.350000000000000e+00 6.474244701801967e-09
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1.045000000000000e+01 7.219849909668662e-09
1.100000000000000e+01 7.529122302113554e-09
1.155000000000000e+01 7.801952827890430e-09
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1.320000000000000e+01 8.441577896291630e-09
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1.870000000000000e+01 9.459861825998961e-09
1.925000000000000e+01 9.510736386725723e-09
1.980000000000000e+01 9.556245139235076e-09
2.035000000000000e+01 9.596959168625506e-09
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2.915000000000000e+01 9.899939937985556e-09
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3.025000000000000e+01 9.913928559425546e-09
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2
figs/energy.fig/Makefile
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@@ -1,6 +1,6 @@
PROJECTNAME=energy PROJECTNAME=energy
SIMPLESOLV= # path/to/simplesolv SIMPLESOLV=simplesolv
DATS=simpleq.dat medeq.dat bigeq.dat DATS=simpleq.dat medeq.dat bigeq.dat
PDFS=$(addsuffix .pdf, $(PROJECTNAME)) PDFS=$(addsuffix .pdf, $(PROJECTNAME))

200
figs/energy.fig/bigeq.dat
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120
figs/energy.fig/simpleq.dat
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2.310129700083163e-02 2.687825259198435e-01 1.167659413279469e-12 2.310129700083163e-02 2.687825259198435e-01 1.167659413279469e-12
2.782559402207126e-02 3.267664771683836e-01 7.775556337126751e-13 2.782559402207126e-02 3.267664771683836e-01 7.775556337127040e-13
3.351602650938848e-02 3.969379725867567e-01 4.949300609691499e-13 3.351602650938848e-02 3.969379725867567e-01 4.949300609691499e-13
4.037017258596558e-02 4.817921803787671e-01 3.047835972157860e-13 4.037017258596558e-02 4.817921803787671e-01 3.047835972157860e-13
4.862601580065354e-02 5.843299025667947e-01 1.744034034347572e-13 4.862601580065353e-02 5.843299025667946e-01 1.744349956560391e-13
5.857020818056673e-02 7.081611855740870e-01 2.145108372619088e-13 5.857020818056673e-02 7.081611855740870e-01 2.145108372619088e-13
7.054802310718646e-02 8.576303130499369e-01 1.004811457230378e-13 7.054802310718646e-02 8.576303130499369e-01 1.004811457230378e-13
8.497534359086456e-02 1.037966511958588e+00 4.718419633908083e-14 8.497534359086456e-02 1.037966511958588e+00 5.257246692725826e-14
1.023531021899027e-01 1.255465580586508e+00 2.639823583877913e-14 1.023531021899027e-01 1.255465580586508e+00 2.633530652792523e-14
1.232846739442068e-01 1.517708710502109e+00 1.889177952517916e-13 1.232846739442068e-01 1.517708710502109e+00 1.889177952517916e-13
1.484968262254467e-01 1.833826060755470e+00 1.262402568827356e-13 1.484968262254467e-01 1.833826060755470e+00 1.262402586202156e-13
1.788649529057435e-01 2.214814195859386e+00 2.307786324072868e-13 1.788649529057435e-01 2.214814195859386e+00 2.307786324072868e-13
2.154434690031887e-01 2.673918372281924e+00 3.831494558709393e-14 2.154434690031887e-01 2.673918372281924e+00 3.831493630360338e-14
2.595024211399737e-01 3.227092915163674e+00 6.546666422710970e-14 2.595024211399737e-01 3.227092915163674e+00 6.546666422710970e-14
3.125715849688241e-01 3.893555644968086e+00 8.786410093299553e-14 3.125715849688241e-01 3.893555644968086e+00 8.786410093299553e-14
3.764935806792471e-01 4.696455586182800e+00 3.094041097523017e-14 3.764935806792472e-01 4.696455586182801e+00 3.094040729325163e-14
4.534878508128591e-01 5.663677129915349e+00 1.346721396138190e-14 4.534878508128591e-01 5.663677129915349e+00 1.346721396138190e-14
5.462277217684348e-01 6.828808565598630e+00 2.348290345391161e-14 5.462277217684348e-01 6.828808565598630e+00 2.348301972394285e-14
6.579332246575682e-01 8.232308608511897e+00 6.075413859670748e-14 6.579332246575682e-01 8.232308608511897e+00 6.075413859670748e-14
7.924828983539185e-01 9.922911427699711e+00 3.551771518542288e-14 7.924828983539186e-01 9.922911427699711e+00 3.551774064603687e-14
9.545484566618347e-01 1.195931896203401e+01 8.585404990085891e-14 9.545484566618347e-01 1.195931896203401e+01 8.585405122642469e-14
1.149756995397738e+00 1.441223928837902e+01 4.176255867225544e-14 1.149756995397738e+00 1.441223928837902e+01 4.176255867225544e-14
1.384886371393875e+00 1.736684182166722e+01 1.114486677072019e-13 1.384886371393875e+00 1.736684182166722e+01 1.114486677072019e-13
1.668100537200059e+00 2.092571459958015e+01 5.653897977104765e-14 1.668100537200059e+00 2.092571459958015e+01 5.653898277771886e-14
2.009233002565050e+00 2.521242633713612e+01 1.048273767790111e-14 2.009233002565050e+00 2.521242633713612e+01 1.048273767790111e-14
2.420128264794383e+00 3.037581693424489e+01 8.488597666410238e-15 2.420128264794383e+00 3.037581693424489e+01 8.488597666410238e-15
2.915053062825182e+00 3.659516541136894e+01 5.400259352206385e-14 2.915053062825182e+00 3.659516541136894e+01 5.400259352206385e-14
@@ -94,7 +94,7 @@
3.274549162877732e+01 4.114552381359539e+02 1.315017988355486e-14 3.274549162877732e+01 4.114552381359539e+02 1.315017988355486e-14
3.944206059437664e+01 4.956068009543682e+02 1.004394652722235e-14 3.944206059437664e+01 4.956068009543682e+02 1.004394652722235e-14
4.750810162102803e+01 5.969676580241880e+02 5.364915392605858e-14 4.750810162102803e+01 5.969676580241880e+02 5.364915392605858e-14
5.722367659350220e+01 7.190571706518009e+02 5.378285825138610e-14 5.722367659350220e+01 7.190571706518009e+02 5.378285824908168e-14
6.892612104349709e+01 8.661144220395618e+02 5.426311368936924e-14 6.892612104349709e+01 8.661144220395618e+02 5.426311368936924e-14
8.302175681319753e+01 1.043245402953268e+03 9.067219514460403e-12 8.302175681319753e+01 1.043245402953268e+03 9.067219782243920e-12
1.000000000000000e+02 1.256600297381089e+03 6.252162647544124e-12 1.000000000000000e+02 1.256600297381089e+03 6.252158470994988e-12

149
libs/ian.cls
View File

@@ -26,9 +26,11 @@
\DeclareOption{no_subsection_in_eq}{\subsectionsineqfalse} \DeclareOption{no_subsection_in_eq}{\subsectionsineqfalse}
\DeclareOption{no_subsection_in_fig}{\subsectionsinfigfalse} \DeclareOption{no_subsection_in_fig}{\subsectionsinfigfalse}
\DeclareOption{no_subsection_in_all}{\subsectionsineqfalse\subsectionsinfigfalse} \DeclareOption{no_subsection_in_all}{\subsectionsineqfalse\subsectionsinfigfalse}
\DeclareOption{a4paper}{\afourpaper}
\DeclareOption{letterpaper}{\letterpaper}
\def\ian@defaultoptions{ \def\ian@defaultoptions{
\ExecuteOptions{section_in_all, no_subsection_in_all} \ExecuteOptions{section_in_all, no_subsection_in_all, a4paper}
\ProcessOptions \ProcessOptions
%% required packages %% required packages
@@ -41,9 +43,56 @@
\pagestyle{plain} \pagestyle{plain}
} }
%% paper dimensions %% paper sizes
\setlength\paperheight{297mm} \def\afourpaper{
\setlength\paperwidth{210mm} %% paper dimensions
\setlength\paperheight{297mm}
\setlength\paperwidth{210mm}
%% offsets
\hoffset=-1in
\voffset=-1in
%% horizontal margins
\oddsidemargin=25mm
\evensidemargin=25mm
%% vertical margin
\topmargin=15mm
%% body size
\textwidth=160mm
\textheight=247mm
%% header size and margin
\headheight=5mm
\headsep=5mm
%% footer size
%\footskip=30pt
%% margin size and margin
\marginparwidth=15mm
\marginparsep=5mm
}
\def\letterpaper{
\setlength\paperheight{11in}
\setlength\paperwidth{8.5in}
%% offsets
\hoffset=-1in
\voffset=-1in
%% horizontal margins
\oddsidemargin=1in
\evensidemargin=1in
%% vertical margin
\topmargin=0.5in
%% body size
\textwidth=6.5in
\textheight=9in
%% header size and margin
\headheight=0.25in
\headsep=0.25in
%% footer size
%\footskip=30pt
%% margin size and margin
\marginparwidth=0.4in
\marginparsep=0.2in
}
%% fonts %% fonts
\input{size11.clo} \input{size11.clo}
@@ -53,12 +102,6 @@
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} \DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} \DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
%% text dimensions
\hoffset=-50pt
\voffset=-72pt
\textwidth=460pt
\textheight=704pt
%% remove default indentation %% remove default indentation
\parindent=0pt \parindent=0pt
@@ -136,6 +179,9 @@
\csname ##1\endcsname% \csname ##1\endcsname%
\else% \else%
{\bf ??}% {\bf ??}%
{\color{blue}\csname ##1\endcsname}%
\else%
{\bf ??}%
\fi% \fi%
\fi% \fi%
} }
@@ -435,12 +481,13 @@
% booleans (write section or subsection in equation number) % booleans (write section or subsection in equation number)
\newif\ifsectionsinfig \newif\ifsectionsinfig
\newif\ifsubsectionsinfig \newif\ifsubsectionsinfig
% width of figures
\newlength\figwidth
\setlength\figwidth\textwidth
\addtolength\figwidth{-2.5cm}
% caption % caption
\def\defcaption{ \def\defcaption{
% width of figures
\newlength\figwidth
\setlength\figwidth\textwidth
\addtolength\figwidth{-2.5cm}
\long\def\caption##1{% \long\def\caption##1{%
\stepcounter{figcount}% \stepcounter{figcount}%
% %
@@ -530,34 +577,6 @@
%\def\seqskip{\vfill\pagebreak} %\def\seqskip{\vfill\pagebreak}
} }
%% start exercises
\def\exercises{
\vfill
\pagebreak
% counter
\setcounter{sectioncount}0
\setcounter{seqcount}0
% prefix
\def\sectionprefix{E}
\hrefanchor
% write
{\bf \LARGE Exercises}\par\penalty10000\bigskip\penalty10000
% add a mention in the table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@exercises\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocexercises{\thepage}}\penalty10000
\fi
\def\eqprefix{E}
\sectionsineqfalse
}
%% bibliography %% bibliography
% size of header % size of header
@@ -593,7 +612,7 @@
%% cite command %% cite command
% @tempswa is set to true when there is an optional argument % @tempswa is set to true when there is an optional argument
\newif\@tempswa \newif\if@tempswa
\def\cite{% \def\cite{%
% check whether there is an optional argument (if there is none, add on empty '[]') % check whether there is an optional argument (if there is none, add on empty '[]')
\@ifnextchar [{\@tempswatrue\@citex}{\@tempswafalse\@citex[]}% \@ifnextchar [{\@tempswatrue\@citex}{\@tempswafalse\@citex[]}%
@@ -692,13 +711,6 @@
{\hyperlink{ln.\csname toc@references\endcsname}{{\color{blue}\bf References}\leaderfill#1}}\par {\hyperlink{ln.\csname toc@references\endcsname}{{\color{blue}\bf References}\leaderfill#1}}\par
\smallskip \smallskip
} }
\def\tocexercises#1{
\medskip
\setcounter{tocsectioncount}0
{\hyperlink{ln.\csname toc@exercises\endcsname}{{\color{blue}\bf Exercises}\leaderfill#1}}\par
\smallskip
\def\tocsectionprefix{E}
}
%% definitions that must be loaded at begin document %% definitions that must be loaded at begin document
@@ -710,6 +722,43 @@
\defcaption \defcaption
} }
%% start exercises
\def\exercises{
\vfill
\pagebreak
% counter
\setcounter{sectioncount}0
\setcounter{seqcount}0
% prefix
\def\sectionprefix{E}
\hrefanchor
% write
{\bf \LARGE Exercises}\par\penalty10000\bigskip\penalty10000
% add a mention in the table of contents
\iftoc
% save lncount in aux variable which is written to toc
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@exercises\endcsname{\thelncount}}
\write\tocoutput{\noexpand\tocexercises{\thepage}}\penalty10000
\fi
\def\eqprefix{E}
\sectionsineqfalse
}
\def\tocexercises#1{
\medskip
\setcounter{tocsectioncount}0
{\hyperlink{ln.\csname toc@exercises\endcsname}{{\color{blue}\bf Exercises}\leaderfill#1}}\par
\smallskip
\def\tocsectionprefix{E}
}
%% end %% end
\ian@defaultoptions \ian@defaultoptions
\endinput \endinput

2
libs/problemset.sty
View File

@@ -108,8 +108,8 @@
\def\questionformat#1{{\bf(#1)} } \def\questionformat#1{{\bf(#1)} }
\def\solution#1{ \def\solution#1{
\makelink{sol:#1}{\thepage}
{\bf Solution\-~\ref{ex:#1}}\par\penalty10000\smallskip\penalty10000 {\bf Solution\-~\ref{ex:#1}}\par\penalty10000\smallskip\penalty10000
\makelink{sol:#1}{\thepage}
\def\eqprefix{S\textref{ex:#1}.} \def\eqprefix{S\textref{ex:#1}.}
\resetpointcounter \resetpointcounter
\setcounter{seqcount}{0} \setcounter{seqcount}{0}