### 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.

Original language | English |
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Pages (from-to) | 21-33 |

Number of pages | 13 |

Journal | Theoretical and Mathematical Physics |

Volume | 150 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2007 |

### Fingerprint

### Keywords

- Complex germ method
- Hartree equation
- Spectral series

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Theoretical and Mathematical Physics*,

*150*(1), 21-33. https://doi.org/10.1007/s11232-007-0003-6

**Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-Ehrenfest system.** / Belov, V. V.; Litvinets, F. N.; Trifonov, A. Yu.

Research output: Contribution to journal › Article

*Theoretical and Mathematical Physics*, vol. 150, no. 1, pp. 21-33. https://doi.org/10.1007/s11232-007-0003-6

}

TY - JOUR

T1 - Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-Ehrenfest system

AU - Belov, V. V.

AU - Litvinets, F. N.

AU - Trifonov, A. Yu

PY - 2007/1/1

Y1 - 2007/1/1

N2 - 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.

AB - 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.

KW - Complex germ method

KW - Hartree equation

KW - Spectral series

UR - http://www.scopus.com/inward/record.url?scp=33747196114&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747196114&partnerID=8YFLogxK

U2 - 10.1007/s11232-007-0003-6

DO - 10.1007/s11232-007-0003-6

M3 - Article

AN - SCOPUS:33747196114

VL - 150

SP - 21

EP - 33

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 1

ER -