Title
Maple procedures for the coupling of angular momenta. IX. Wigner D-functions and rotation matrices
Abstract
The Wigner D-functions, Dpqj(α,β,γ), are known for their frequent use in quantum mechanics. Defined as the matrix elements of the rotation operator Rˆ(α,β,γ) in R3 and parametrized in terms of the three Euler angles α, β, and γ, these functions arise not only in the transformation of tensor components under the rotation of the coordinates, but also as the eigenfunctions of the spherical top. In practice, however, the use of the Wigner D-functions is not always that simple, in particular, if expressions in terms of these and other functions from the theory of angular momentum need to be simplified before some computations can be carried out in detail.
Year
DOI
Venue
2006
10.1016/j.cpc.2005.12.008
Computer Physics Communications
Keywords
Field
DocType
3.65.Fd,2.90.+p
Wigner distribution function,Mathematical analysis,Racah W-coefficient,Tensor operator,Spherical harmonics,9-j symbol,Wigner D-matrix,Rotation operator,Clebsch–Gordan coefficients,Mathematics
Journal
Volume
Issue
ISSN
174
8
0010-4655
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
J. Pagaran100.34
S. Fritzsche273.43
G. Gaigalas343.01