Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential

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dc.creatorPelinovsky, Dmitry
dc.creatorSchneider, Guido
dc.date2007-11-16
dc.date.accessioned2026-07-07T08:43:35Z
dc.date.available2026-07-07T08:43:35Z
dc.descriptionWe justify the validity of the discrete nonlinear Schrodinger equation for the tight-binding approximation in the context of the Gross-Pitaevskii equation with a periodic potential. Our construction of the periodic potential and the associated Wannier functions is based on the previous work, while our analysis involving energy estimates and Gronwall's inequality addresses time-dependent localized solutions on large but finite time intervals.
dc.description9 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0711.2694
dc.identifierhttp://arxiv.org/abs/0711.2694
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142363
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleBounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
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