Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential; Arxiv.org
| Parent link: | Arxiv.org.— 2005.— Mathematical Physics |
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| מחבר ראשי: | |
| מחברים אחרים: | , |
| סיכום: | Title screen A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and 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 Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form |
| שפה: | אנגלית |
| יצא לאור: |
2005
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| גישה מקוונת: | http://arxiv.org/abs/math-ph/0510054 |
| פורמט: | אלקטרוני Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636495 |
| סיכום: | Title screen A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and 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 Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form |
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