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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 2, Pages 315–323
DOI: https://doi.org/10.4213/tmf778 (Mi tmf778) 		 
A new class of solutions of the Dirac equation

Yu. G. Pavlenko, A. I. Toropova

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf778
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
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 2, Pages 1079–1086
DOI: https://doi.org/10.1007/BF02557414
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Language: Russian
Citation: Yu. G. Pavlenko, A. I. Toropova, “A new class of solutions of the Dirac equation”, TMF, 120:2 (1999), 315–323; Theoret. and Math. Phys., 120:2 (1999), 1079–1086
Citation in format AMSBIB
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\paper A new class of solutions of the Dirac equation
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 2
\pages 1079--1086
\crossref{https://doi.org/10.1007/BF02557414}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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