Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations

Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations

Bibliografiske detaljer
Parent link:	Theoretical and Mathematical Physics: Scientific Journal Vol. 130, iss. 3.— 2002.— [P. 391-418]
Hovedforfatter:	Belov V. V.
Andre forfattere:	Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Summary:	Title screen We use the concept of the complex WKB–Maslov method to construct semiclassically concentrated solutions for Hartree-type equations. Formal solutions of the Cauchy problem for this equation that are asymptotic (with respect to a small parameter h, h-0) are constructed with the power-law accuracy O(hN/2), where N=3 is a positive integer. The system of Hamilton–Ehrenfest equations (for averaged and centered moments) derived in this paper plays a significant role in constructing semiclassically concentrated solutions. In the class of semiclassically concentrated solutions of Hartree-type equations, we construct an approximate Green's function and state a nonlinear superposition principle Режим доступа: по договору с организацией-держателем ресурса
Sprog:	engelsk
Udgivet:	2002
Fag:	электронный ресурс труды учёных ТПУ
Online adgang:	http://link.springer.com/article/10.1023%2FA%3A1014719007121
Format:	Electronisk Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636545

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