Mathematical Sciences: Faculty Publications
Nonlinear Schrödinger Equations for Bose-Einstein Condensates
Document Type
Conference Proceeding
Publication Date
10-2013
Publication Title
Nonlinear and Modern Mathematical Physics: AIP Conference Proceedings
DOI
10.1063/1.4828682
ISBN
978-0-7354-1190-6
ISSN
1551-7616
Abstract
The Gross-Pitaevskii equation, or more generally the nonlinear Schrödinger equation, models the Bose-Einstein condensates in a macroscopic gaseous superfluid wave-matter state in ultra-cold temperature. We provide analytical study of the NLS with L 2 initial data in order to understand propagation of the defocusing and focusing waves for the BEC mechanism in the presence of electromagnetic fields. Numerical simulations are performed for the two-dimensional GPE with anisotropic quadratic potentials.
Recommended Citation
Galati, Luigi, Shijun Zheng.
2013.
"Nonlinear Schrödinger Equations for Bose-Einstein Condensates."
Nonlinear and Modern Mathematical Physics: AIP Conference Proceedings, 1532 (1): 50-64.
doi: 10.1063/1.4828682 isbn: 978-0-7354-1190-6
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/254
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
