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Georgia Southern University
Numerical Solutions to the Gross-Pitaevskii Equation for Bose-Einstein Condensates
Abstract
dc:description.abstract<p>In this thesis we compare various potential operators for the two-dimensional (2D) Gross-Pitaevskii equation (GPE) for Bose-Einstein condensates. Both the 2D and the 1D models are scaled to get a three parameter model. Smoothness of initial conditions is considered and choice of method (Split-Step Fourier method with Strang Splitting) is justied. Numerical simulations provide graphical evidence of properties of both focusing and nonfocusing cases.</p>
Degree
thesis:*- Name thesis:degree_name
- Master of Science in Mathematics (M.S.)
- Level thesis:degree_level
- Thesis (open access)
- Discipline thesis:degree_discipline
- Department of Mathematical Sciences
- Year dc:date.available
- 2013
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Galati, Luigi
- Contributors dc:contributor
-
- Yan Wu
- Cheng Zhang
Subjects
dc:subject × 8Identifiers
dc:identifier.*- Repository record dc:identifier
- https://digitalcommons.georgiasouthern.edu/etd/844
- OAI identifier oai:identifier
- oai:digitalcommons.georgiasouthern.edu:etd-1849