Semiclassical Approach to the Geometric Phase Theory for the Hartree Type Equation
| Parent link: | Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003, Kyiv (Kiev), Ukraine.— 2004.— [P. 1454-1465] |
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| Outros autores: | , |
| Summary: | 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: | inglés |
| Publicado: |
2004
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| Subjects: | |
| Acceso en liña: | http://www.imath.kiev.ua/~snmp2003/Proceedings/shapovalov.pdf |
| Formato: | Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636531 |