Функция Грина Уравнения Типа Уравнения Хартри С Квадратичным Потенциалом

A semiclassical asymptotic of the Cauchy problem is constructed for the two-dimensional Fokker-Planck equation with nonlocal nonlinearity in the class of trajectory concentrated functions based on the complex WKB-Maslov method. The system of Einstein-Ehrenfest equations describing the dynamics of average values of the coordinate operator and centered moments is derived. The results obtained are illustrated by a number of examples.

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Nonlinear Fokker-Planck-Kolmogorov Equation in the Semiclassical Coherent Trajectory Approximation

Bezverbnyĭ

Gogolev

Rezaev

et al. 2005

Russ Phys J

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Semiclassical spectral series of the two-component Hartree-type operator

et al. 2007

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Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation

2007

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Функция Грина Уравнения Типа Уравнения Хартри С Квадратичным Потенциалом

Cited by 3 publications

References 6 publications

Nonlinear Fokker-Planck-Kolmogorov Equation in the Semiclassical Coherent Trajectory Approximation

Nonlinear Fokker-Planck-Kolmogorov Equation in the Semiclassical Coherent Trajectory Approximation

Semiclassical spectral series of the two-component Hartree-type operator

Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation

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