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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 112–123, January, 2014.
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Lobanov, A.E. Dynamical representation of the operators for the Dirac particle in the field of a plane wave. Theor Math Phys 182, 90–99 (2015). https://doi.org/10.1007/s11232-015-0248-4
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DOI: https://doi.org/10.1007/s11232-015-0248-4