The iterative method for quantum double-well and symmetry-breaking potentials, 2017

Abstract

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. KEY TERMS: Quantum Mechanics, Energy, Symmetry, Physical Sciences and Mathematics, Physics, Quantum Physic