114 lines
4.0 KiB
Plaintext
114 lines
4.0 KiB
Plaintext
simplesolv is a program to compute the solution of the Simplified approach to
|
|
the Bose gas.
|
|
|
|
It is written in julia, and requires the julia interpreter to run.
|
|
|
|
The code is available in the 'src' directory.
|
|
|
|
The LaTeX source code for the documentation is located in the 'doc' directory.
|
|
A pdf file is available in the source tarball, as well as at
|
|
http://ian.jauslin.org/software/simplesolv/simplesolv-doc.pdf
|
|
The documentation basic usage examples, an extensive reference of all commands,
|
|
and detailed descriptions of the numerical algorithms used.
|
|
|
|
Any questions, concerns, or bug reports should be addressed to Ian Jauslin at
|
|
ian.jauslin@rutgers.edu
|
|
|
|
simplesolv was written by Ian Jauslin, and is released under the Apache 2.0
|
|
license. It is based on work done in collaboration with
|
|
Eric A. Carlen
|
|
Markus Holzmann
|
|
Elliott H. Lieb
|
|
published in the following papers:
|
|
* E.A. Carlen, I. Jauslin, E.H. Lieb - Analysis of a simple equation for the
|
|
ground state energy of the Bose gas, Pure and Applied Analysis, volume 2,
|
|
issue 3, pages 659-684, 2020,
|
|
https://doi.org/10.2140/paa.2020.2.659
|
|
https://arxiv.org/abs/1912.04987
|
|
http://ian.jauslin.org/publications/19cjl
|
|
|
|
* E.A. Carlen, I. Jauslin, E.H. Lieb - Analysis of a simple equation for the
|
|
ground state energy of the Bose gas II: Monotonicity, Convexity and
|
|
Condensate Fraction, SIAM Journal on Mathematical Analysis, volume 53,
|
|
number 5, pages 5322-5360, 2021
|
|
https://doi.org/10.1137/20M13768
|
|
https://arxiv.org/abs/2010.13882
|
|
http://ian.jauslin.org/publications/20cjl
|
|
|
|
* E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - 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
|
|
https://doi.org/10.1103/PhysRevA.103.053309
|
|
https://arxiv.org/abs/2011.10869
|
|
http://ian.jauslin.org/publications/20chjl
|
|
|
|
* I. Jauslin - The Simplified approach to the Bose gas without translation
|
|
invariance, 2023
|
|
https://arxiv.org/abs/2302.13446
|
|
http://ian.jauslin.org/publications/23j
|
|
|
|
* I. Jauslin - Evidence of a liquid phase in repulsive Bosonic systems using
|
|
the Simplified approach to the Bose gas, 2023
|
|
https://arxiv.org/abs/2302.13449
|
|
http://ian.jauslin.org/publications/23j_b
|
|
|
|
|
|
Dependencies:
|
|
|
|
* julia interpreter
|
|
Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and other contributors: https://github.com/JuliaLang/julia/contributors
|
|
https://julialang.org/
|
|
MIT and GNU GPLv2 Licenses
|
|
* julia packages:
|
|
FastGaussQuadrature
|
|
Alex Townsend
|
|
https://github.com/JuliaApproximation/FastGaussQuadrature.jl
|
|
MIT license
|
|
Polynomials
|
|
Jameson Nash and others
|
|
https://github.com/JuliaMath/Polynomials.jl
|
|
MIT license
|
|
SpecialFunctions
|
|
Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and others
|
|
https://github.com/JuliaMath/SpecialFunctions.jl/
|
|
MIT License
|
|
|
|
to typeset the documentation:
|
|
* pdftex
|
|
pdfTeX team, TeX Live Team, Hàn Thế Thành
|
|
http://tug.org/applications/pdftex/
|
|
GNU GPL
|
|
* latex
|
|
LaTeX3 Project
|
|
https://www.latex-project.org/
|
|
LaTeX Project Public License 1.3c
|
|
* LaTeX packages:
|
|
color
|
|
David Carlisle, LaTeX3 Project
|
|
https://ctan.org/pkg/color
|
|
LaTeX Project Public License 1.3c
|
|
marginnote
|
|
Markus Kohm
|
|
https://komascript.de/marginnote
|
|
LaTeX Project Public License 1.3c
|
|
amsfonts
|
|
American Mathematical Society
|
|
http://www.ams.org/tex/amsfonts.html
|
|
SIL Open Font Licence
|
|
hyperref
|
|
Sebastian Rahtz, Heiko Oberdiek, LaTeX3 Project
|
|
https://github.com/latex3/hyperref
|
|
LaTeX Project Public License 1.3
|
|
array
|
|
LaTeX project, Frank Mittelbach
|
|
https://ctan.org/pkg/array
|
|
LaTeX Project Public License 1.3
|
|
doublestroke
|
|
Olaf Kummer
|
|
https://ctan.org/pkg/doublestroke
|
|
Custom Free license
|
|
* optionally: GNU Make
|
|
Richard Stallman, Roland McGrath, Paul Smith
|
|
https://www.gnu.org/software/make/
|
|
GNU GPLv3
|