## simplesolv

simplesolv is a program to compute the solution of the equations of the Simplified approach to the Bose gas, as defined in [CJL19], [CJL20], [CHJL20], [Ja23], [Ja23b].

simplesolv v0.4.1 can be used to compute, among others:

- the solution, ground state energy, condensate fraction, momentum distribution, two-point correlation function, Fourier transform of the two-point correlation, compressibility for any equation in the Simplified approach, such as the Simple, Medium or Big equations, for any smooth potential.
- the solution, ground state energy and condensate fraction for the Simple equation with a hard core potential.

simplesolv is written in Julia, and can run on any POSIX compliant system, including GNU/Linux and OSX, provided the Julia interpreter is installed. It requires the following Julia packages:

### Download

simplesolv is made available under an Apache 2.0 license, which allows copying, sharing and modifying the source code, among other things. Details can be found at https://www.apache.org/licenses/LICENSE-2.0.

The source code is made available here:

- Source tarball: simplesolv-0.4.1.tar.gz
- Git repository: simplesolv-git

### Documentation

The documentation for simplesolv provides basic usage examples, an exhaustive list of commands, and a detailed explanation of the numerical algorithms used:

### Changelog

- v0.4.1: updated references in documentation

- feature: compute the 2-point correlation function in easyeq.
- feature: compute the Fourier transform of the 2-point correlation function in anyeq and easyeq.
- feature: compute the local maximum of the 2-point correlation function and its Fourier transform.
- feature: compute the compressibility for anyeq.
- feature: allow for linear spacing of rho's.
- feature: print the scattering length.
- change: ux and uk now return real numbers.
- fix: error in the computation of the momentum distribution: wrong definition of delta functions.
- fix: various minor bugs.
- optimization: assign explicit types to variables.

### Past versions

The past versions are available here:

### Licensing

simplesolv is licensed under the Apache 2.0 license.