The trajectory-coherent approximation and the system of moments for the Hartree type equation

DOI10.1155/S0161171202112142zbMath1136.81372arXivmath-ph/0012046MaRDI QIDQ1854155

A. Yu. Trifonov, Alexander Shapovalov, Vladimir V. Belov

Publication date: 13 January 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0012046

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Integro-differential operators (47G20)

Related Items (13)

Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation ⋮ Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-ehrenfest system ⋮ The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation ⋮ Formalism of semiclassical asymptotics for a two-component Hartree-type equation ⋮ Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation ⋮ A semiclassical approximation for the nonstationary two-dimensional nonlinear Schrödinger equation with an external field in polar coordinates ⋮ An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation ⋮ Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation ⋮ Semiclassical spectral series of the two-component Hartree-type operator ⋮ Semiclassical spectral series for the two-component Hartree-type equation ⋮ Quasiparticles described by the Gross-Pitaevskii equation in the semiclassical approximation ⋮ Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type ⋮ Generalized coherent states and the control of quantum systems

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