Classical Lorentz Invariant Particles
- 1 December 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (12) , 2415-2422
- https://doi.org/10.1063/1.1665553
Abstract
A classical Lorentz invariant completely Hamiltonian elementary one‐particle system is defined as having a state space K in which the Poincaré group acts transitively, its infinitesimal actions having generating functions relative to some Poisson bracket, such that there can be associated with each state k a world line Γ(k) in Cartesian 4‐space. It is determined that there are nine families of such particles. Two have their speed in the usual range, three travel at the speed of eight, and four always faster. In each family the members are distinguished by one or two parameters such as mass and spin.Keywords
This publication has 4 references indexed in Scilit:
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- Group Theoretical Discussion of Relativistic Wave EquationsProceedings of the National Academy of Sciences, 1948