Abstract:
A study is made of the structure of the Hamittonian for the interaction of conduction electrons with an electromagnetic field for semicondueting crystals whose Hamiltonian contains terms that depend on both the spin and the kinetic degrees of freedom of the electrons. It is shown that the previously constructed [1] interaction Hamiltonians for such systems break the gage
invariance of the equations of motion of the physical quantities. By means of a time-dependent canonical transformation of the system's Hamiltonian, a new expression is found for the operator of the interaction with the field, and this preserves the gage invarianee of the equations of motion. Canonical ransformations of the basis operators in the nonequilibrium statistical operator method are considered. Expressions that are exact with respect to the internal interactions of the subsystems are constructed for the power absorbed by the electrons in the second order in the strengths of the electric and the magnetic field.
Citation:
V. P. Kalashnikov, “Interaction of conduction electrons with an esternal electromagnetic in the gage-invariant theory of combined resonance”, TMF, 18:1 (1974), 108–120; Theoret. and Math. Phys., 18:1 (1974), 76–84
\Bibitem{Kal74}
\by V.~P.~Kalashnikov
\paper Interaction of conduction electrons with an~esternal electromagnetic in the gage-invariant theory of combined resonance
\jour TMF
\yr 1974
\vol 18
\issue 1
\pages 108--120
\mathnet{http://mi.mathnet.ru/tmf3522}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468985}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 18
\issue 1
\pages 76--84
\crossref{https://doi.org/10.1007/BF01036929}
Linking options:
https://www.mathnet.ru/eng/tmf3522
https://www.mathnet.ru/eng/tmf/v18/i1/p108
This publication is cited in the following 7 articles:
I.I. Lyapilin, M.S. Okorokov, N.G. Bebenin, “Resonance excitation of the spin-wave current in hybrid structures”, Journal of Magnetism and Magnetic Materials, 440 (2017), 87
M. S. Okorokov, I. I. Lyapilin, V. V. Ustinov, “Dynamic spin-current generation in hybrid structures by sound wave”, Low Temperature Physics, 43:4 (2017), 442
I. I. Lyapilin, M. S. Okorokov, “Dynamic generation of spin-wave currents in hybrid structures”, Semiconductors, 50:11 (2016), 1515–1520
I. I. Lyapilin, M. S. Okorokov, N. G. Bebenin, “Resonant Excitation of the Spin-Wave Current in Hybrid Nanostructures”, Appl Magn Reson, 47:11 (2016), 1179
V. V. Ryazanov, “Lifetime distributions in the methods of non-equilibrium statistical operator and superstatistics”, Eur. Phys. J. B, 72:4 (2009), 629
I. I. Lyapilin, A. E. Patrakov, “Photoconductivity of a two-dimensional electron system with a spin-orbit interaction in an AC magnetic field”, Phys. Metals Metallogr., 106:6 (2008), 548
R. Luzzi, L.C.M. Miranda, “Optical properties of semiconductors under intense laser fields”, Physics Reports, 43:11 (1978), 423
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