Zero-Mass Representations of the Poincaré Group in an O(3, 1) Basis
- 1 April 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (4) , 532-536
- https://doi.org/10.1063/1.1664607
Abstract
Unitary irreducible representations of the Poincaré group, corresponding to zero mass and finite helicity, are reduced with respect to the subgroup of homogeneous Lorentz transformations. The action of the energy‐momentum operators in the basis suited to this reduction is examined.Keywords
This publication has 9 references indexed in Scilit:
- Unitary Representations of the Homogeneous Lorentz Group in an O(2, 1) BasisJournal of Mathematical Physics, 1968
- Unitary Representations of the Group O(2, 1) in an O(1, 1) BasisJournal of Mathematical Physics, 1967
- Infinite-Component Wave Equations with Hydrogenlike Mass SpectraPhysical Review B, 1967
- Unitary and non-unitary representations of the complex inhomogeneous Lorentz groupCommunications in Mathematical Physics, 1967
- Relativistic particle spectra and mass splittingsPhysics Letters B, 1967
- Integration of the infinitesimal generators of the inhomogeneous Lorentz group and application to the transformation of the wave functionAnnals of Physics, 1967
- Complex Inhomogeneous Lorentz Group and Complex Angular MomentumPhysical Review Letters, 1966
- Relativistic Wave Equations for Particles with Internal Structure and Mass SpectrumProgress of Theoretical Physics Supplement, 1966
- Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass ZeroJournal of Mathematical Physics, 1962