Title | ||
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Maple procedures for the coupling of angular momenta. IX. Wigner D-functions and rotation matrices |
Abstract | ||
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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. Pagaran | 1 | 0 | 0.34 |
S. Fritzsche | 2 | 7 | 3.43 |
G. Gaigalas | 3 | 4 | 3.01 |