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

Rudolf A. Frick
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Abstract

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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Rudolf A. Frick. 2002-02-21. Propagation of a relativistic particle in terms of the unitary irreducible representations of the Lorentz group. https://doi.org/10.1007/s100520100832

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