Propagation of a relativistic particle in terms of the unitary irreducible representations of the Lorentz group
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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.
KeywordsIrreducible Representation Lorentz Group Relativistic Particle Relativistic Mechanic Nonrelativistic Limit
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