Geodesic
Dynamical representation of the~operators for the~Dirac particle in the~field of a~plane wave
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 112-123

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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, integral of motion, plane-wave field.
Mots-clés : Dirac–Pauli equation 
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     title = {Dynamical representation of the~operators for {the~Dirac} particle in the~field of a~plane wave},
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A. E. Lobanov. Dynamical representation of the~operators for the~Dirac particle in the~field of a~plane wave. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 112-123. http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a6/