Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field
| Parent link: | Journal of Physics A: Mathematical and Theoretical Vol. 40, № 6.— 2007.— [11129, 22 p.] |
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| Autore principale: | |
| Altri autori: | , |
| Riassunto: | Title screen A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where T»1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form. |
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2007
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| Accesso online: | http://dx.doi.org/10.1088/1751-8113/40/36/013 |
| Natura: | Elettronico Capitolo di libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636490 |
| Riassunto: | Title screen A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where T»1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form. |
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| DOI: | 10.1088/1751-8113/40/36/013 |