Numerical solutions of quantum mechanical problems have witnessed tremendous advances over the past years. In this thesis, we develop an iterative approach to problems of double-well potentials and their variants with parity-time-reversal symmetry- breaking perturbations. We show that the method provides an efficient scheme for obtaining accurate energies and wave functions. We discuss in this thesis potential applications to a variety of related topics such as phase transitions, symmetry breaking, and external field-induced effects.
| Identifer | oai:union.ndltd.org:auctr.edu/oai:digitalcommons.auctr.edu:cauetds-1164 |
| Date | 22 May 2017 |
| Creators | Alsufyani, Nada |
| Publisher | DigitalCommons@Robert W. Woodruff Library, Atlanta University Center |
| Source Sets | Atlanta University Center |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Electronic Theses & Dissertations Collection for Atlanta University & Clark Atlanta University |
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