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

This article is cited in 6 scientific papers (total in 6 papers)

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

Full text: PDF file (251 kB)
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English version:
Theoretical and Mathematical Physics, 2005, 145:2, 1539–1550

Bibliographic databases:

Received: 11.02.2005

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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\paper Equation for the Complex Energy of a Bound Particle in a Laser Radiation Field in the Presence of Strong Constant Electromagnetic Fields
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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
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    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  mathnet  crossref  crossref  adsnasa  isi
    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  crossref  adsnasa  isi  scopus  scopus
    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  crossref  isi  scopus  scopus
    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  crossref  isi  scopus  scopus
    5. Quantum Electron., 48:1 (2018), 49–56  mathnet  crossref  isi  elib
    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  crossref  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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