On the semiclassical expansion for 1-dim $x^N$ potentials
Chaotic Dynamics
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
In the present paper we study the structure of the WKB series for the polynomial potential ( even). In particular, we obtain relatively simple recurrence formula of the coefficients of the semiclassical approximation and of the WKB terms for the energy eigenvalues.
Keywords
Cite
@article{arxiv.nlin/0003052,
title = {On the semiclassical expansion for 1-dim $x^N$ potentials},
author = {Marko Robnik and Valery Romanovski},
journal= {arXiv preprint arXiv:nlin/0003052},
year = {2009}
}
Comments
5 pages, PTP LaTeX style, to be published in the proceedings of the conference/summer school 'Let's Face Chaos through Nonlinear Dynamics', Maribor, Slovenia, June/July 1999, eds. M. Robnik et al., Prog. Theor. Phys. Suppl. (Kyoto) 139 (2000)