Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism
Mathematical Physics
2015-06-18 v1 math.MP
Quantum Physics
Abstract
In the present work, we apply the exact quantization condition, introduced within the framework of Padgett and Leacock's quantum Hamilton-Jacobi formalism, to angular and radial quantum action variables in the context of the Hartmann and the ring-shaped oscillator potentials which are separable and non central. The energy spectra of the two systems are exactly obtained.
Keywords
Cite
@article{arxiv.1312.0087,
title = {Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism},
author = {Abdelhakim Gharbi and Ahmed Bouda},
journal= {arXiv preprint arXiv:1312.0087},
year = {2015}
}
Comments
13 pages, no figures