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New exact solutions of the dirac equation. XII
Authors:V. G. Bagrov  M. D. Noskov  V. N. Shapovalov
Affiliation:(1) Institute of High-Current Electronics, Siberian Branch, Academy of Sciences of the USSR, USSR;(2) V. V. Kuibyshev Tomsk State University, USSR;(3) Kalmytskii State University, USSR
Abstract:The search for exact solutions of the Dirac equation begun in [1] is continued. We find three new types of external electromagnetic fields where the Dirac equation, Klein-Gordon equation, and classical Lorentz equation can be solved exactly. We find fields for which explicit solutions to the Klein-Gordon equation can be found but for which explicit solutions of the Dirac equation cannot.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 81–86, January, 1985.
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