Affiliation:
1. Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600025, India
Abstract
In this work, we illustrate the use of eigenfunction method (EFM) in quantum mechanics by taking a specific example namely the splitting of energy levels under perturbation. Initially, the symmetry group of the Hamiltonian is taken to be [Formula: see text] which under the action of a perturbing potential changes to a lower symmetry namely [Formula: see text]. We have constructed an irreducible basis using the EFM for both the symmetries and show the simplifications that ensure the calculation of the expectation value of the perturbing Hamiltonian.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics