wigner package for Python
The wigner package for Python contains bindings to the wigner C library for computing Wigner d functions and 3j symbols.
Functions are provided with minimal wrapping:
>>> import wigner
>>> wigner.wigner_3jj(2, 3, -1, 2)
(1.0, 5.0, [-0.308, -4.280e-17, 0.188, -0.197, 0.101])
Installation
The package can be installed with pip:
$ pip install wigner
The only dependency is numpy.
Functions
- legendre_pl – Legendre polynomial as function of l
- wigner_3jj – Wigner 3j symbol as function of l1
- wigner_3jm – Wigner 3j symbol as function of m2
- wigner_6j – Wigner 6j symbol as function of l1
- wigner_dl – Wigner d function as function of l
legendre_pl
legendre_pl(lmin, lmax, x)
Compute the Legendre polynomials P_l(x) for all degrees l = lmin to l = lmax, with x being held fixed. The arguments lmin and lmax must be integers, while the argument x must be float. Returns a numpy array of size lmax-lmin+1.
wigner_3jj
wigner_3jj(l2, l3, m2, m3)
Evaluate the Wigner 3j symbol
/ l1 l2 l3 \
\ -m2-m3 m2 m3 /
for all allowable values of l1, with the other parameters held fixed. For physically meaningful outputs, the arguments must be integer or half-integer, although other inputs are allowed. Returns a tuple l1min, l1max, thrcof where l1min and l1max are the smallest and largest allowable values of l1, and thrcof is a numpy array of size l1max-l1min+1 containing the values of the 3j symbol.
wigner_3jm
wigner_3jm(l1, l2, l3, m1)
Evaluate the Wigner 3j symbol
/ l1 l2 l3 \
\ m1 m2 -m1-m2/
for all allowable values of m2, with the other parameters held fixed. For physically meaningful outputs, the arguments must be integer or half-integer, although other inputs are allowed. Returns a tuple m2min, m2max, thrcof where m2min and m2max are the smallest and largest allowable values of m2, and thrcof is a numpy array of size m2max-m2min+1 containing the values of the 3j symbol.
wigner_6j
wigner_6j(l2, l3, l4, l5, l6)
Evaluate the Wigner 6j symbol
{l1 l2 l3}
{l4 l5 l6}
for all allowable values of l1, with the other parameters held fixed. For physically meaningful outputs, the arguments must be integer or half-integer, although other inputs are allowed. Returns a tuple l1min, l1max, sixcof where l1min and l1max are the smallest and largest allowable values of l1, and sixcof is a numpy array of size l1max-l1min+1 containing the values of the 6j symbol.
wigner_dl
wigner_dl(lmin, lmax, m1, m2, theta)
Compute the Wigner d function d^l_{m1,m2}(theta) for all degrees l = lmin to l = lmax, with m1, m2, and theta being held fixed. The arguments lmin, lmax, m1, m2 must be integers, and the angle theta must be given in radian as float. Returns a numpy array of size lmax-lmin+1.
1 maintainer
Metadata
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Release files for wigner 2025.1
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| Download URL | wigner-2025.1-cp39-cp39-musllinux_1_2_i686.whl |
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Transparency logRelease files / wigner-2025.1-cp39-cp39-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl
| Download URL | wigner-2025.1-cp39-cp39-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl |
|---|---|
| Size | 37.8 kB |
| Tags | CPython 3.9 Linux glibc 2.17+ x86-32 Linux glibc 2.5+ x86-32 |
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Yes |
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twine/6.1.0 CPython/3.12.9
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Transparency logRelease files / wigner-2025.1-cp39-cp39-macosx_11_0_arm64.whl
| Download URL | wigner-2025.1-cp39-cp39-macosx_11_0_arm64.whl |
|---|---|
| Size | 14.3 kB |
| Tags | CPython 3.9 macOS 11.0+ ARM64 |
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SHA-256 checksum How to use checksums |
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Uploaded using Trusted Publishing? What is trusted publishing? |
Yes |
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twine/6.1.0 CPython/3.12.9
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Transparency logRelease files / wigner-2025.1-cp39-cp39-macosx_10_9_x86_64.whl
| Download URL | wigner-2025.1-cp39-cp39-macosx_10_9_x86_64.whl |
|---|---|
| Size | 15.6 kB |
| Tags | CPython 3.9 macOS 10.9+ x86-64 |
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SHA-256 checksum How to use checksums |
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BLAKE2b-256 checksum How to use checksums |
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| Upload date | |
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Uploaded using Trusted Publishing? What is trusted publishing? |
Yes |
| Uploaded via |
twine/6.1.0 CPython/3.12.9
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