Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis: Derivation for the Cases of Nonzero Mass and Zero Mass, Discrete Spin

DOI10.1063/1.1704082zbMath0126.44801OpenAlexW2030672045MaRDI QIDQ5332058

J. S. Lomont, H. E. Moses

Publication date: 1965

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1704082

zbMATH Keywords

quantum theory

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Structure and representation of the Lorentz group (22E43)

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Representation Theory of SO(4, 1) and E(3, 1): An Explicit Spinor Calculus ⋮ Representation Theory of SP(4) and SO(5) ⋮ Eine einfache Ableitung der Darstellungen der inhomogenen Lorentz-Gruppe in der Drehimpuls-Basis ⋮ Reduction on the Lorentz subgroup of UIR's of the Poincaré group induced by a semisimple little group ⋮ Transformation from a Linear Momentum to an Angular Momentum Basis for Particles of Zero Mass and Finite Spin ⋮ On the L—S Basis of the Poincaré Group for the Case of Nonzero Rest Mass

Cites Work

• Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass Zero
• The Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis