Author： Pecheritsyn A. Pozdeeva E. Samsonov B.
Publisher： Springer Publishing Company
ISSN： 1064-8887
Source： Russian Physics Journal, Vol.48, Iss.4, 2005-04, pp. : 365-374
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Abstract
The method of differential transformation operators is applied to the Dirac equation with the generalized form of the time-dependent potential. It is demonstrated that the transformation operator and the transformed potential are solutions of the initial equation. It is established that under certain conditions, an integral expression can be retrieved for the transformed potential. Examples of new potentials expressed through elementary functions are presented for which the Dirac equation can be solved exactly.
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