A Study of Quasi-Exactly Solvable Models within the Quantum Hamilton-Jacobi Method
Quantum Physics
2009-11-07 v2
Abstract
A few quasi-exactly solvable models are studied within the quantum Hamilton-Jacobi formalism. By assuming a simple singularity structure of the quantum momentum function, we show that the exact quantization condition leads to the condition for quasi-exact solvability.
Keywords
Cite
@article{arxiv.quant-ph/0207036,
title = {A Study of Quasi-Exactly Solvable Models within the Quantum Hamilton-Jacobi Method},
author = {K. G. Geojo and S. Sree Ranjani and A. K. Kapoor},
journal= {arXiv preprint arXiv:quant-ph/0207036},
year = {2009}
}
Comments
7 pages, RevTex Style, corrected some typos. The main results of the paper remain unchanged. However a set of new conclusions about the zeros of the eigenfunction have been included. The manuscript has been accepted for publishing in Jour. Phys. A: Mathematical and General