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

  • R.A. Frick
Theoretical physics


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.


Irreducible Representation Lorentz Group Relativistic Particle Relativistic Mechanic Nonrelativistic Limit 
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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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