Pyslise
Pyslise [1] is a collection of algorithms to solve one (and two, in development) dimensional time-independent Schrödinger equations. These algorithms are based upon constant perturbation methods to efficiently solve these eigenvalue problems.
The code (and name) is based on Matslise [2]. This is a feature-rich MATLAB library for solving the one dimensional time independent Schrödinger equation.
To solve the two dimensional problem an algorithm is developed on the basis of a method proposed by Ixaru [3].
This implementation is developed in C++ with a focus on efficiency. This code is precompiled and packaged in wheels for 64 bit Linux, Windows, and Mac.
Documentation
Full documentation can be found on matslise.ugent.be. This document contains some examples of how to use this library.
On the same page an interactive version is available.
Examples
One dimensional problems can be tackled with:
from pyslise import Pyslise
from math import pi, cos
problem = Pyslise(lambda x: 2*cos(2*x), 0, pi, tolerance=1e-6)
problem.eigenvaluesByIndex(0, 10, (0, 1), (0, 1))
Also two dimensional problems are possible:
from pyslise import Pyslise2D
def V(x, y):
return (1 + x**2) * (1 + y**2)
problem = Pyslise2D(V, -5.5,5.5, -5.5,5.5, tolerance=1e-6)
problem.eigenvalues(0,13)
Bibliography
- [1] Baeyens, Toon, and Marnix Van Daele. “The Fast and Accurate Computation of Eigenvalues and Eigenfunctions of Time-Independent One-Dimensional Schrödinger Equations.” Computer Physics Communications, August 26, 2020, 107568. https://doi.org/10.1016/j.cpc.2020.107568.
- [2] Ledoux, Veerle, and Marnix Van Daele. “MATSLISE 2.0 : A Matlab Toolbox for Sturm-Liouville Computations.” ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 42, no. 4 (2016): 18.
- [3] Ixaru, L. Gr. “New Numerical Method for the Eigenvalue Problem of the 2D Schrödinger Equation.” Computer Physics Communications 181 (October 1, 2010): 1738–42. https://doi.org/10.1016/j.cpc.2010.06.031.
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Metadata
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Release files for pyslise 3.2.2
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Built distributions (wheels)
| File | Reset | |||
|---|---|---|---|---|
| pyslise-3.2.2-cp314-cp314-win_amd64.whl | CPython 3.14 | CPython 3.14 | Windows x86-64 | Details |
| pyslise-3.2.2-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl | CPython 3.14 | CPython 3.14 | Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 | Details |
| pyslise-3.2.2-cp314-cp314-macosx_15_0_universal2.whl | CPython 3.14 | CPython 3.14 | macOS 15.0+ universal2 (ARM64, x86-64) | Details |
| pyslise-3.2.2-cp313-cp313-win_amd64.whl | CPython 3.13 | CPython 3.13 | Windows x86-64 | Details |
| pyslise-3.2.2-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl | CPython 3.13 | CPython 3.13 | Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 | Details |
| pyslise-3.2.2-cp313-cp313-macosx_15_0_universal2.whl | CPython 3.13 | CPython 3.13 | macOS 15.0+ universal2 (ARM64, x86-64) | Details |
| pyslise-3.2.2-cp312-cp312-win_amd64.whl | CPython 3.12 | CPython 3.12 | Windows x86-64 | Details |
| pyslise-3.2.2-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl | CPython 3.12 | CPython 3.12 | Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 | Details |
| pyslise-3.2.2-cp312-cp312-macosx_15_0_universal2.whl | CPython 3.12 | CPython 3.12 | macOS 15.0+ universal2 (ARM64, x86-64) | Details |
| pyslise-3.2.2-cp311-cp311-win_amd64.whl | CPython 3.11 | CPython 3.11 | Windows x86-64 | Details |
| pyslise-3.2.2-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl | CPython 3.11 | CPython 3.11 | Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 | Details |
| pyslise-3.2.2-cp311-cp311-macosx_15_0_universal2.whl | CPython 3.11 | CPython 3.11 | macOS 15.0+ universal2 (ARM64, x86-64) | Details |
| pyslise-3.2.2-cp310-cp310-win_amd64.whl | CPython 3.10 | CPython 3.10 | Windows x86-64 | Details |
| pyslise-3.2.2-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl | CPython 3.10 | CPython 3.10 | Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 | Details |
| pyslise-3.2.2-cp310-cp310-macosx_15_0_universal2.whl | CPython 3.10 | CPython 3.10 | macOS 15.0+ universal2 (ARM64, x86-64) | Details |
| pyslise-3.2.2-cp39-cp39-win_amd64.whl | CPython 3.9 | CPython 3.9 | Windows x86-64 | Details |
| pyslise-3.2.2-cp39-cp39-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl | CPython 3.9 | CPython 3.9 | Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 | Details |
| pyslise-3.2.2-cp39-cp39-macosx_15_0_universal2.whl | CPython 3.9 | CPython 3.9 | macOS 15.0+ universal2 (ARM64, x86-64) | Details |
Total release size: 12.3 MB
Release files / pyslise-3.2.2-cp314-cp314-win_amd64.whl
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| Download URL | pyslise-3.2.2-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
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| Size | 320.2 kB |
| Tags | CPython 3.11 Windows x86-64 |
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| Download URL | pyslise-3.2.2-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl |
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