A new class of solutions of the Dirac equation

Yu. G. Pavlenko, A. I. Toropova

M. V. Lomonosov Moscow State University

Abstract: A class of exact solutions of the Dirac equation is obtained for an electron in the electromagnetic field of a waveguide formed by two pairs of hyperbolic cylinders. The spin coefficients are determined in terms of the eigenvalues of the invariant polarization operator. The suggested method can be used to describe excitation in waveguides of arbitrary types.

Received: 09.12.1998

DOI: 10.4213/tmf778

 English version: Theoretical and Mathematical Physics, 1999, 120:2, 1079–1086

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