Abstract:
The exact solution is found to the eigenfunetion and eigenvatue problem for the Hamiltonian of
a Dirae electron that interacts with the quantized field of a monochromatic electromagnetic
wave and an external homogeneous magnetic field, the direction of propagation of the wave coinciding
with the direction of the homogeneous magnetic field. It is shown that the energy spectrum
of the system contains a forbidden region, which disappears when the electron-photon
interaction is switched off; the boundaries of this region correspond to the phenomenon of cyclotron
resonance, at which the electron and photon oscillators have the same frequencies.
Citation:
D. I. Abakarov, V. P. Oleinik, “Electron in the field of a quantized electromagnetic wave and in a homogeneous magnetic field”, TMF, 12:1 (1972), 78–87; Theoret. and Math. Phys., 12:1 (1972), 673–679
\Bibitem{AbaOle72}
\by D.~I.~Abakarov, V.~P.~Oleinik
\paper Electron in the field of a quantized electromagnetic wave and in a homogeneous magnetic field
\jour TMF
\yr 1972
\vol 12
\issue 1
\pages 78--87
\mathnet{http://mi.mathnet.ru/tmf2971}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 12
\issue 1
\pages 673--679
\crossref{https://doi.org/10.1007/BF01030043}
Linking options:
https://www.mathnet.ru/eng/tmf2971
https://www.mathnet.ru/eng/tmf/v12/i1/p78
This publication is cited in the following 5 articles:
A. D. Levin, D. M. Gitman, R. A. Castro, “Entanglement of two-qubit photon beam by magnetic field”, Eur. Phys. J. C, 74:9 (2014)
J. Bergou, F. Ehlotzky, “Relativistic quantum states of a particle in an electromagnetic plane wave and a homogeneous magnetic field”, Phys. Rev. A, 27:5 (1983), 2291
V. G. Zhulego, A. F. Radyuk, F. I. Fedorov, “Vector meson in a quantized electromagnetic field”, Theoret. and Math. Phys., 35:3 (1978), 540–543
A. E. Kazakov, “The relation between particle wave functions in a classical and quantum electromagnetic wave”, Soviet Physics Journal, 18:7 (1975), 925
V. G. Bagrov, D. M. Gitman, V. A. Kuchin, P. M. Lavrov, “Fundamental problems of the electrodynamics of electrons in the quantized field of a plane wave. I”, Soviet Physics Journal, 17:12 (1974), 1709
Citation in format AMSBIB
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