Generalized Spherical Functions for the Noncompact Rotation Groups
- 1 May 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (5) , 816-821
- https://doi.org/10.1063/1.1931212
Abstract
Special representations of arbitrary noncompact rotation groups labeled by one independent Casimir operator are considered. The explicit construction of the corresponding generalized spherical functions is given and the properties of these representations are discussed in detail.Keywords
This publication has 9 references indexed in Scilit:
- Dynamics of a BrokenSymmetry for the OscillatorPhysical Review B, 1965
- Generalizations of the Poincaré GroupPhysical Review Letters, 1965
- Kinetic-Energy Effects inTheoryPhysical Review Letters, 1965
- Algebraic Construction of the Basis for the Irreducible Representations of Rotation Groups and for the Homogeneous Lorentz GroupJournal of Mathematical Physics, 1965
- ∼U and brokenSU 6 symmetryIl Nuovo Cimento (1869-1876), 1965
- N-Dimensional Total Orbital Angular-Momentum Operator. II. Explicit RepresentationsJournal of Mathematical Physics, 1964
- Représentations intégrables du groupe de De SitterBulletin de la Société Mathématiques de France, 1961
- Generalized orbital angular momentum and the n-fold degenerate quantum-mechanical oscillatorJournal of Molecular Spectroscopy, 1960
- Zur Theorie des WasserstoffatomsThe European Physical Journal A, 1935