The trajectory-coherent approximation and the system of moments for the Hartree type equation; International Journal of Mathematics and Mathematical Sciences; Vol. 32, iss. 6

The trajectory-coherent approximation and the system of moments for the Hartree type equation; International Journal of Mathematics and Mathematical Sciences; Vol. 32, iss. 6

Detalhes bibliográficos
Parent link:International Journal of Mathematics and Mathematical Sciences: Scientific Journal
Vol. 32, iss. 6.— 2002.— [P. 325-370]
Autor principal: Belov V. V.
Outros Autores: Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Resumo:Title screen
The general construction of semiclassically concentrated solutions to the Hartree typeequation, based on the complex WKB-Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter h (h- 0), are constructed with a power accuracy of O(hN/2), where N is any natural number. In constructing the semiclassically concentrated solutions, a set of Hamilton-Ehrenfest equations (equations for centered moments) is essentially used. The nonlinear superposition principle has been formulated for the class of semiclassically concentrated solutions of Hartree type equations. The results obtained are exemplified by a one-dimensional Hartree type equation with a Gaussian potential
Idioma:inglês
Publicado em: 2002
Assuntos:
электронный ресурс
труды учёных ТПУ
Acesso em linha:http://www.hindawi.com/journals/ijmms/2002/931236/abs/
Formato: Recurso Eletrônico Capítulo de Livro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636547

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