Term of Award
Summer 2025
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
Mark Edwards
Committee Member 1
Yi Hu
Committee Member 2
Shijun Zheng
Abstract
Atom interferometry in Bose-Einstein condensate systems has emerged as a promising technique for precision metrology. The dynamics of these systems are well-described by the Gross-Pitaevskii equation (GPE), but direct numerical solution of this equation is infeasible for realistic systems. We use the Lagrangian Variational Method (LVM) to approximate solutions of the GPE in 1D and 3D, and we compare the LVM results to the exact solutions. We also present 3D LVM results for a case where numerical solution of the GPE is infeasible.
OCLC Number
1529036005
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916627634102950
Recommended Citation
Heward, Jeffrey W., "Applying the Lagrangian Variational Method to Atom Interferometry" (2025). Theses & Dissertations. 2987.
https://digitalcommons.georgiasouthern.edu/etd/2987
Research Data and Supplementary Material
No
