Term of Award
Summer 2013
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Shijun Zheng
Committee Member 1
Yan Wu
Committee Member 2
Cheng Zhang
Abstract
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.
Recommended Citation
Galati, Luigi, "Numerical Solutions to the Gross-Pitaevskii Equation for Bose-Einstein Condensates" (2013). Electronic Theses and Dissertations. 844.
https://digitalcommons.georgiasouthern.edu/etd/844
Research Data and Supplementary Material
No
