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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
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