Strands

Standing waves approximations for the n-dimensional Schrödinger problem (with n = 2).

Strands is a library to compute eigenvalues of two-dimensional time-independent Schrödinger equations. $$ -\nabla \psi(x, y) + V(x, y) \psi(x, y) = E \psi(x, y) $$ The library is written in C++ with Python-bindings.

Installation

Installing it is as simple as

pip install strands

Examples

Harmonic oscillator on a circular domain

Consider the harmonic oscillator potential $$ V(x, y) = x^2 + y^2 $$ on the circular domain around zero with radius $9.5$.

from strands import Schrodinger2D , Circle

def V(x, y):
    return x * x + y * y

schrodinger = Schrodinger2D(V, Circle ((0, 0), 9.5), gridSize=(40, 40), maxBasisSize=30)
print(schrodinger.eigenvalues(10))

The values gridSize and maxBasisSize determine how accurate the used method has to be. Eigenfunctions can be computed with:

import matplotlib.pyplot as plt
import numpy as np

xs = np.linspace(-4, 4, 100)
ys = np.linspace(-4, 4, 100)
X, Y = np.meshgrid(xs, ys)

for E, f in schrodinger.eigenfunctions(3):
    plt.pcolormesh(X, Y, f(X, Y))
    plt.show ()

Development

This is developed in C++ with CMake. To get started, make a recursive clone:

git clone --recursive https://github.com/twist-numerical/strands.git
cd strands

To compile and run the tests the following can be used:

mkdir build && cd build
cmake -DCMAKE_BUILD_TYPE=Release -DSTRANDS_PYTHON=OFF ..  # Build without python
cmake --build . --target strands_test
./strands_test --durations yes

Project links

Key dates

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Latest release

1 maintainer

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Credits

Author: Toon Baeyens

License

MIT

Requires

Python >=3.6

Tags

schrodinger equation eigenvalues numerical methods

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Metadata

Project links

Key dates

PyPI data
Data sourced directly from PyPI's database.
  • Released:
Latest release

1 maintainer

PyPI data
Data sourced directly from PyPI's database.
Avatar for toonijn from gravatar.com toonijn

Credits

Author: Toon Baeyens

License

MIT

Requires

Python >=3.6

Tags

schrodinger equation eigenvalues numerical methods

Report project as malware

Release files for Strands 0.1.0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for Strands 0.1.0
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Strands-0.1.0.tar.gz 34.9 kB Details

Built distributions (wheels)

Table of built distributions (wheels) for Strands 0.1.0
File
Strands-0.1.0-pp39-pypy39_pp73-win_amd64.whl 597.4 kB PyPy 3.9 PyPy 3.9 7.3 Windows x86-64 Details
Strands-0.1.0-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 638.2 kB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-pp39-pypy39_pp73-macosx_10_9_x86_64.whl 614.8 kB PyPy 3.9 PyPy 3.9 7.3 macOS 10.9+ x86-64 Details
Strands-0.1.0-pp38-pypy38_pp73-win_amd64.whl 597.4 kB PyPy 3.8 PyPy 3.8 7.3 Windows x86-64 Details
Strands-0.1.0-pp38-pypy38_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 638.4 kB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-pp38-pypy38_pp73-macosx_10_9_x86_64.whl 614.9 kB PyPy 3.8 PyPy 3.8 7.3 macOS 10.9+ x86-64 Details
Strands-0.1.0-pp37-pypy37_pp73-win_amd64.whl 597.1 kB PyPy 3.7 PyPy 3.7 7.3 Windows x86-64 Details
Strands-0.1.0-pp37-pypy37_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 637.8 kB PyPy 3.7 PyPy 3.7 7.3 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-pp37-pypy37_pp73-macosx_10_9_x86_64.whl 614.3 kB PyPy 3.7 PyPy 3.7 7.3 macOS 10.9+ x86-64 Details
Strands-0.1.0-cp311-cp311-win_amd64.whl 596.2 kB CPython 3.11 CPython 3.11 Windows x86-64 Details
Strands-0.1.0-cp311-cp311-musllinux_1_1_x86_64.whl 1.1 MB CPython 3.11 CPython 3.11 Linux musl 1.1+ x86-64 Details
Strands-0.1.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 635.7 kB CPython 3.11 CPython 3.11 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-cp311-cp311-macosx_10_9_x86_64.whl 615.1 kB CPython 3.11 CPython 3.11 macOS 10.9+ x86-64 Details
Strands-0.1.0-cp310-cp310-win_amd64.whl 596.2 kB CPython 3.10 CPython 3.10 Windows x86-64 Details
Strands-0.1.0-cp310-cp310-musllinux_1_1_x86_64.whl 1.1 MB CPython 3.10 CPython 3.10 Linux musl 1.1+ x86-64 Details
Strands-0.1.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 635.6 kB CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-cp310-cp310-macosx_10_9_x86_64.whl 615.1 kB CPython 3.10 CPython 3.10 macOS 10.9+ x86-64 Details
Strands-0.1.0-cp39-cp39-win_amd64.whl 596.3 kB CPython 3.9 CPython 3.9 Windows x86-64 Details
Strands-0.1.0-cp39-cp39-musllinux_1_1_x86_64.whl 1.1 MB CPython 3.9 CPython 3.9 Linux musl 1.1+ x86-64 Details
Strands-0.1.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 639.0 kB CPython 3.9 CPython 3.9 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-cp39-cp39-macosx_10_9_x86_64.whl 615.3 kB CPython 3.9 CPython 3.9 macOS 10.9+ x86-64 Details
Strands-0.1.0-cp38-cp38-win_amd64.whl 596.2 kB CPython 3.8 CPython 3.8 Windows x86-64 Details
Strands-0.1.0-cp38-cp38-musllinux_1_1_x86_64.whl 1.1 MB CPython 3.8 CPython 3.8 Linux musl 1.1+ x86-64 Details
Strands-0.1.0-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 638.6 kB CPython 3.8 CPython 3.8 Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-cp38-cp38-macosx_10_9_x86_64.whl 615.0 kB CPython 3.8 CPython 3.8 macOS 10.9+ x86-64 Details
Strands-0.1.0-cp37-cp37m-win_amd64.whl 597.9 kB CPython 3.7 CPython 3.7 pymalloc Windows x86-64 Details
Strands-0.1.0-cp37-cp37m-musllinux_1_1_x86_64.whl 1.2 MB CPython 3.7 CPython 3.7 pymalloc Linux musl 1.1+ x86-64 Details
Strands-0.1.0-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 636.2 kB CPython 3.7 CPython 3.7 pymalloc Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-cp37-cp37m-macosx_10_9_x86_64.whl 613.7 kB CPython 3.7 CPython 3.7 pymalloc macOS 10.9+ x86-64 Details
Strands-0.1.0-cp36-cp36m-win_amd64.whl 597.8 kB CPython 3.6 CPython 3.6 pymalloc Windows x86-64 Details
Strands-0.1.0-cp36-cp36m-musllinux_1_1_x86_64.whl 1.2 MB CPython 3.6 CPython 3.6 pymalloc Linux musl 1.1+ x86-64 Details
Strands-0.1.0-cp36-cp36m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 636.2 kB CPython 3.6 CPython 3.6 pymalloc Linux glibc 2.17+ x86-64 Details
Strands-0.1.0-cp36-cp36m-macosx_10_9_x86_64.whl 613.8 kB CPython 3.6 CPython 3.6 pymalloc macOS 10.9+ x86-64 Details

Total release size: 23.6 MB

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