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 TMF, 2005, Volume 145, Number 2, Pages 198–211 (Mi tmf1896)

Equation for the Complex Energy of a Bound Particle in a Laser Radiation Field in the Presence of Strong Constant Electromagnetic Fields

G. A. Kravtsovaa, A. M. Mandel'b, V. N. Rodionovb

a M. V. Lomonosov Moscow State University
b Moscow State Geological Prospecting Academy

Abstract: We construct exact solutions of the Schrodinger and Pauli equations for charged particles in the external field of the Redmond generalized configuration. We calculate the Green's functions of scalar and spinning particles in this field. Using them, we calculate the equations for the complex quasienergy of a bound particle (bound by a short-range potential) two different ways. In the example of an external constant electric field, we discuss the applicability domain of the obtained equations and the differences between their solutions.

Keywords: strong fields, nonlinear phenomena, exact solutions, quasistationary states

DOI: https://doi.org/10.4213/tmf1896

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English version:
Theoretical and Mathematical Physics, 2005, 145:2, 1539–1550

Bibliographic databases:

Citation: G. A. Kravtsova, A. M. Mandel', V. N. Rodionov, “Equation for the Complex Energy of a Bound Particle in a Laser Radiation Field in the Presence of Strong Constant Electromagnetic Fields”, TMF, 145:2 (2005), 198–211; Theoret. and Math. Phys., 145:2 (2005), 1539–1550

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tmf1896
• https://doi.org/10.4213/tmf1896
• http://mi.mathnet.ru/eng/tmf/v145/i2/p198

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. N. Rodionov, G. A. Kravtsova, A. M. Mandel', “Wave function and the probability current distribution for a bound electron moving in a uniform magnetic field”, Theoret. and Math. Phys., 164:1 (2010), 960–971
2. Rodionov V.N., Kravtsova G.A., “The Energy Level Shifts, Wave Functions and the Probability Current Distributions for the Bound Scalar and Spinor Particles Moving in a Uniform Magnetic Field”, Physics of Particles and Nuclei, 42:6 (2011), 895–910
3. Grigor'ev S.N., Mandel' A. M., Oshurko V.B., Solomakho G.I., “Determining the effective fractal dimension of nanodimensional coatings with the aid of magnetic field”, Technical Physics Letters, 37:12 (2011), 1176–1178
4. Mandel' A. M., Oshurko V.B., Solomakho G.I., Sharts A.A., “on the Natural Magnetization of Ideal Quantum Dots and the Possibility of Detection of Terahertz Radiation in the Magnetic Field”, J. Commun. Technol. Electron., 60:10 (2015), 1117–1123
5. Quantum Electron., 48:1 (2018), 49–56
6. Mandel' A. M., Oshurko V.B., Solomakho G.I., Solomakho K.G., Veretin V.S., “Regularization of One-Electron Quasi-Steady States in Ideal Quantum Dots in the Electric Field”, J. Commun. Technol. Electron., 63:2 (2018), 173–179
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