Mathematical Proceedings of the Cambridge Philosophical Society · 1956 · 32 citations · 3 references
Natural SciencesMathematicsPhysicsMathematical PhysicsRepresentation TheoryTheoretical PhysicsAngular MomentumCanonical TransformationsHarmonic AnalysisLorentz TransformationsRotation RepresentationsSpace GroupsAngular Momentum AlgebraAngular Momentum OperatorsHarmonic Analysis On Euclidean SpacesHarmonicsRotation Group RepresentationsWigner Function
ABSTRACT General shift operators for angular momentum are obtained and applied to find closed expressions for some Wigner coefficients occurring in a transformation between two equivalent representations of the four-dimensional rotation group. The transformation gives rise to analytical relations between hyperspherical harmonics in a four-dimensional Euclidean space.
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On Unitary Representations of the Group of De Sitter Space
L. H. Thomas · Annals of Mathematics · 1941 · 149 citations