This article is cited in 1 paper

Dynamical representation of the operators for the Dirac particle in the field of a plane wave

A. E. Lobanov

Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia

Abstract: We find an explicit form of the integrals of motion for a Dirac particle placed in a plane-wave field. These operators are a realization of the Lie algebra of the Poincaré group in the case where the representation space consists of solutions of the Dirac–Pauli equation for the particle in a plane-wave field.

Keywords: Poincaré group, Lie algebra, Dirac–Pauli equation, integral of motion, plane-wave field.

Received: 23.06.2014

DOI: 10.4213/tmf8743

 English version: Theoretical and Mathematical Physics, 2015, 182:1, 90–99

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