WignerD.jl

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

Usage

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