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

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We 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.
9 pages, 2 figures

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Mathematical Physics, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/142363

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2694
 http://arxiv.org/abs/0711.2694

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arXiv