2021-10-04 15:12:34 +00:00
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simplesolv is a program to compute the solution of the Simplified approach to
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the Bose gas.
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It is written in julia, and requires the julia interpreter to run.
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The code is available in the 'src' directory.
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The LaTeX source code for the documentation is located in the 'doc' directory.
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A pdf file is available in the source tarball, as well as at
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http://ian.jauslin.org/software/simplesolv/simplesolv-doc.pdf
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The documentation basic usage examples, an extensive reference of all commands,
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and detailed descriptions of the numerical algorithms used.
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Any questions, concerns, or bug reports should be addressed to Ian Jauslin at
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ian.jauslin@rutgers.edu
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simplesolv was written by Ian Jauslin, and is released under the Apache 2.0
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license. It is based on work done in collaboration with
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Eric A. Carlen
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Markus Holzmann
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Elliott H. Lieb
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published in the following papers:
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* E.A. Carlen, I. Jauslin, E.H. Lieb - Analysis of a simple equation for the
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ground state energy of the Bose gas, Pure and Applied Analysis, volume 2,
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issue 3, pages 659-684, 2020,
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https://doi.org/10.2140/paa.2020.2.659
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https://arxiv.org/abs/1912.04987
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http://ian.jauslin.org/publications/19cjl
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* E.A. Carlen, I. Jauslin, E.H. Lieb - Analysis of a simple equation for the
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ground state energy of the Bose gas II: Monotonicity, Convexity and
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2023-02-26 23:36:05 +00:00
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Condensate Fraction, SIAM Journal on Mathematical Analysis, volume 53,
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number 5, pages 5322-5360, 2021
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https://doi.org/10.1137/20M13768
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2021-10-04 15:12:34 +00:00
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https://arxiv.org/abs/2010.13882
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http://ian.jauslin.org/publications/20cjl
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* E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - Simplified approach to
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the repulsive Bose gas from low to high densities and its numerical
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accuracy, Physical Review A, volume 103, issue 5, number 053309, 2021
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https://doi.org/10.1103/PhysRevA.103.053309
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https://arxiv.org/abs/2011.10869
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http://ian.jauslin.org/publications/20chjl
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2023-02-26 23:36:05 +00:00
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* I. Jauslin - The Simplified approach to the Bose gas without translation
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invariance, 2023
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http://ian.jauslin.org/publications/23j
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* I. Jauslin - Evidence of a liquid phase in repulsive Bosonic systems using
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the Simplified approach to the Bose gas, 2023
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http://ian.jauslin.org/publications/23j_b
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Dependencies:
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* julia interpreter
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Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and other contributors: https://github.com/JuliaLang/julia/contributors
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https://julialang.org/
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MIT and GNU GPLv2 Licenses
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* julia packages:
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FastGaussQuadrature
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Alex Townsend
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https://github.com/JuliaApproximation/FastGaussQuadrature.jl
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MIT license
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Polynomials
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Jameson Nash and others
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https://github.com/JuliaMath/Polynomials.jl
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MIT license
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SpecialFunctions
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Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and others
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https://github.com/JuliaMath/SpecialFunctions.jl/
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MIT License
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to typeset the documentation:
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* pdftex
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pdfTeX team, TeX Live Team, Hàn Thế Thành
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http://tug.org/applications/pdftex/
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GNU GPL
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* latex
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LaTeX3 Project
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https://www.latex-project.org/
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LaTeX Project Public License 1.3c
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* LaTeX packages:
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color
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David Carlisle, LaTeX3 Project
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https://ctan.org/pkg/color
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LaTeX Project Public License 1.3c
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marginnote
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Markus Kohm
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https://komascript.de/marginnote
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LaTeX Project Public License 1.3c
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amsfonts
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American Mathematical Society
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http://www.ams.org/tex/amsfonts.html
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SIL Open Font Licence
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hyperref
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Sebastian Rahtz, Heiko Oberdiek, LaTeX3 Project
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https://github.com/latex3/hyperref
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LaTeX Project Public License 1.3
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array
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LaTeX project, Frank Mittelbach
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https://ctan.org/pkg/array
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LaTeX Project Public License 1.3
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doublestroke
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Olaf Kummer
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https://ctan.org/pkg/doublestroke
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Custom Free license
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* optionally: GNU Make
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Richard Stallman, Roland McGrath, Paul Smith
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https://www.gnu.org/software/make/
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GNU GPLv3
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