Semiclassical Approach to the Geometric Phase Theory for the Hartree Type Equation

Semiclassical Approach to the Geometric Phase Theory for the Hartree Type Equation

Detalhes bibliográficos
Parent link:Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003, Kyiv (Kiev), Ukraine: Proceedings of Institute of Mathematics of NAS of Ukraine. [P. 1454-1465].— , 2004
Autor principal: Shapovalov A. V. Aleksandr Vasilyevich
Outros Autores: Trifonov A. Yu. Andrey Yurievich, Lisok A. L. Aleksandr Leonidovich
Resumo:Title screen
Quasi-energy states and a spectrum of quasi-energies asymptotic in small parameter h (h-0) are constructed for a multidimensional Hartree type equation with non-local nonlinearity and with an external field cyclic in time. The quasi-energy states are a special case of trajectory coherent solutions of the Hartree type equation, which belong to the class of semiclassically concentrated functions. A function of this class describes a solitary wave localized in a neighborhood of a phase trajectory in the space of moments of the solution. The phase trajectory is closed due to the configuration of the external field. The Aharonov-Anandan geometric phases, which characterize a system “as a whole”, are found for the quasi-energy states in a semiclassical approximation accurate to O(h3/2), h-0
Режим доступа: по договору с организацией-держателем ресурса
Idioma:inglês
Publicado em: 2004
Assuntos:
электронный ресурс
труды учёных ТПУ
Acesso em linha:http://www.imath.kiev.ua/~snmp2003/Proceedings/shapovalov.pdf
Formato: Recurso Eletrônico Capítulo de Livro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636531

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