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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 1, Pages 26–40
DOI: https://doi.org/10.4213/tmf5964 (Mi tmf5964) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton–Ehrenfest system

V. V. Belova, F. N. Litvinetsb, A. Yu. Trifonovb

a Moscow State Institute of Electronics and Mathematics
b Tomsk Polytechnic University
Full-text PDF (524 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf5964
Abstract: We consider the classical equations of motion in quantum means, i.e., the Hamilton–Ehrenfest system. In the semiclassical approximation in the framework of the covariant approach based on these equations, we construct the spectral series of a nonlinear Hartree-type operator corresponding to a rest point.
Keywords: complex germ method, spectral series, Hartree equation.
Received: 26.05.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 1, Pages 21–33
DOI: https://doi.org/10.1007/s11232-007-0003-6
Bibliographic databases:
Language: Russian
Citation: V. V. Belov, F. N. Litvinets, A. Yu. Trifonov, “Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton–Ehrenfest system”, TMF, 150:1 (2007), 26–40; Theoret. and Math. Phys., 150:1 (2007), 21–33
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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