Propagation of a relativistic particle in terms of the unitary irreducible representations of the Lorentz group

Details Propagation of a relativistic particle in terms of the unitary irreducible representations of the Lorentz group Propagation of a relativistic particle in terms of the unitary irreducible representations of the Lorentz group

2001-11-07

arxiv.org/abs/hep-th/0111063v2

Eur.Phys.J.C22:581-584,2001

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, to appear in Eur.Phys.J.C

Scientific paper

10.1007/s100520100832

In a generalized Heisenberg/Schroedinger picture we use an invariant space-time transformation to describe the motion of a relativistic particle. We discuss the relation with the relativistic mechanics and find that the propagation of the particle may be defined as space-time transition between states with equal eigenvalues of the first and second Casimir operators of the Lorentz algebra. In addition we use a vector on the light-cone. A massive relativistic particle with spin 0 is considered. We also consider the nonrelativistic limit.

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