Evaluation of Wigner-D functions or Wigner-d functions of specific degrees.
Syntax
Dl = WignerD(g,l)
Dl = WignerD(g,l,'normalize')
Dl = WignerD(g,'degree',l)
D = WignerD(g,'bandwidth',l)
dl = WignerD(beta,l)
dl = WignerD(beta,'degree',l)
d = WignerD(beta,'bandwidth',l)Input
| g | quaternion / rotation / orientation / symmetry |
| beta | second Euler angle |
Output
| Dl | Wigner-D matrix D_l^(m,n) (\((2l+1) \times (2l+1)\)) |
| D | all evaluated Wigner-D functions up to bandwidth L (\((l(2*l--1)(2*l+1)/3) \times n\) where n is the number of rotations) |
| dl | Wigner-d matrix d_l^(m,n) |
| d | all evaluated Wigner-d functions up to bandwidth L |
Options
| bandwidth | harmonic degree of series expansion |
| degree | number or array, single degree reshapes result |
Flags
| normalize | l2 normalized Wigner-D functions (multiply by \sqrt(2n+1)) |