The Iterative Method for Quantum Double-well and Symmetry-breaking Potentials
Nada Alsufyani · Atlanta University Center Robert W. Woodruff Library (Atlanta University Center Robert W. Woodruff Library) · 2017
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.