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

DOI10.1007/S100520100832zbMATH Open1072.81534arXivhep-th/0111063OpenAlexW3104188450MaRDI QIDQ5952466

Publication date: 9 January 2002

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-th/0111063

zbMATH Keywords

Casimir operator eigenvalues Heisenberg picture Schrödinger picture

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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