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The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration

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arxiv 1509.08612 v1 pith:BESVRHYC submitted 2015-09-29 math-ph math.MPquant-ph

A.I. Breev , A.V. Shapovalov This is my paper · ORCID
classification math-phmath.MPquant-ph
keywords diracelectromagneticequationexternalintegrationfieldfieldsmethod
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Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator

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