Reduction of the representations of the generalised Poincare algebra by the Galilei algebra
- 1 July 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (7) , 2319-2330
- https://doi.org/10.1088/0305-4470/13/7/015
Abstract
The realisations of all classes of unitary irreducible representations of the generalised Poincare group P(1,4) have been found in a basis in which the Casimir operators of its important subgroup, i.e. the Galilei group, are of diagonal form. The exact form of the unitary operator which connects the canonical basis of the P(1,4) group and the Galilei basis has been established.Keywords
This publication has 11 references indexed in Scilit:
- The groups of Poincaré and Galilei in arbitrary dimensional spacesJournal of Mathematical Physics, 1978
- Relativistic dynamics on a null planeAnnals of Physics, 1978
- Relativistic kinetic theory of a system of particles with variable rest massJournal of Physics A: General Physics, 1976
- Relation of the Inhomogeneous de Sitter Group to the Quantum Mechanics of Elementary ParticlesJournal of Mathematical Physics, 1970
- On representations of the inhomogeneous de Sitter group and equations in five-dimensional Minkowski spaceNuclear Physics B, 1969
- On a possible approach to the variable-mass problemNuclear Physics B, 1968
- Nonrelativistic particles and wave equationsCommunications in Mathematical Physics, 1967
- The relativistic position operator at subatomic levelIl Nuovo Cimento A (1971-1996), 1967
- Synthesis of Covariant Particle EquationsPhysical Review B, 1956
- On Unitary Ray Representations of Continuous GroupsAnnals of Mathematics, 1954