https://github.com/jishnub/wignerd.jl

Wigner d and D matrices following Feng (2015)
https://github.com/jishnub/wignerd.jl

julia linear-algebra rotation rotation-matrix spherical-geometry spherical-harmonics wigner-d-matrix wignerd-matrices

Last synced: 6 days ago
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Wigner d and D matrices following Feng (2015)

• Host: GitHub
• URL: https://github.com/jishnub/wignerd.jl
• Owner: jishnub
• License: mit
• Created: 2019-07-21T13:00:50.000Z (about 5 years ago)
• Default Branch: master
• Last Pushed: 2024-07-02T07:47:05.000Z (3 months ago)
• Last Synced: 2024-09-27T23:06:32.400Z (6 days ago)
• Topics: julia, linear-algebra, rotation, rotation-matrix, spherical-geometry, spherical-harmonics, wigner-d-matrix, wignerd-matrices
• Language: Julia
• Homepage: https://jishnub.github.io/WignerD.jl/
• Size: 455 KB
• Stars: 10
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# WignerD.jl

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Wigner d and D matrices using the exact diagonalization algorithm of Feng (2015), following the phase convention of Varshalovich et al. (1988).

# Usage

```julia

julia> wignerd(0.5, 0)

2×2 Matrix{Float64}:

 1.0  -0.0

 0.0   1.0

julia> wignerd(1, pi/3)

3×3 Matrix{Float64}:

  0.75       0.612372  0.25

 -0.612372   0.5       0.612372

  0.25      -0.612372  0.75

julia> WignerD.wignerdjmn(1, 1, 1, pi/3)

0.7500000000000004

julia> wignerD(1, 0, pi/3, pi/2)

3×3 Matrix{ComplexF64}:

 4.59243e-17+0.75im       0.612372-0.0im  1.53081e-17-0.25im

 -3.7497e-17-0.612372im        0.5+0.0im   3.7497e-17-0.612372im

 1.53081e-17+0.25im      -0.612372+0.0im  4.59243e-17-0.75im

julia> WignerD.wignerDjmn(1, 1, 1, 0, pi/3, pi/2)

4.592425496802577e-17 - 0.7500000000000004im

```