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Semiclassical trajectory-coherent approximations of Hartree-type equations

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Publication:1417317
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DOI10.1023/A:1014719007121zbMath1044.81045MaRDI QIDQ1417317

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

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Cauchy problemnonlinear superposition principleHamilton-Ehrenfest equations


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)


Related Items (4)

Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-ehrenfest system ⋮ Modeling of surface water waves concentrated near moving points ⋮ Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity ⋮ An integrable class of differential equations with nonlocal nonlinearity on Lie groups







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