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

  • R.A. Frick
Theoretical physics

Abstract.

In a generalized Heisenberg/Schrödinger 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.

Keywords

Irreducible Representation Lorentz Group Relativistic Particle Relativistic Mechanic Nonrelativistic Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2001

Authors and Affiliations

  • R.A. Frick
    • 1
  1. 1.Institut für Theoretische Physik, Universität Köln, 50923 Köln, GermanyDE

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