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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
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
Linking options:
https://www.mathnet.ru/eng/tmf778https://doi.org/10.4213/tmf778 https://www.mathnet.ru/eng/tmf/v120/i2/p315
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