Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential

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dc.creatorLitvinets, F. N.
dc.creatorTrifonov, A. Yu.
dc.creatorShapovalov, A. V.
dc.date2005-10-15
dc.date.accessioned2026-07-07T06:47:02Z
dc.date.available2026-07-07T06:47:02Z
dc.descriptionA 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 $T\gg1$ is the adiabatic evolution time. A generalization of the Berry phase of the linear Schrödinger equation is formulated for the Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form.
dc.description13 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0510054
dc.identifierhttp://arxiv.org/abs/math-ph/0510054
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 1191--1206
dc.identifierdoi:10.1088/0305-4470/39/5/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103529
dc.subjectMathematical Physics
dc.titleBerry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential
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