Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
Quantum Physics
2015-06-23 v1
Abstract
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with symmetry. It is shown that group theory predicts the degeneracy of the energy levels and facilitates the application of perturbation theory and the Rayleigh-Ritz variational method as well as the interpretation of the results in terms of the symmetry of the solutions . We show how to obtain suitable symmetry-adapted basis sets.
Cite
@article{arxiv.1501.00975,
title = {Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:1501.00975},
year = {2015}
}