Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems
Quantum Physics
2009-11-07 v2 High Energy Physics - Theory
Abstract
Certain quasi-exactly solvable systems exhibit an energy reflection property that relates the energy levels of a potential or of a pair of potentials. We investigate two sister potentials and show the existence of this energy reflection relationship between the two potentials. We establish a relationship between the lowest energy edge in the first potential using the weak coupling expansion and the highest energy level in the sister potential using a WKB approximation carried out to higher order.
Cite
@article{arxiv.quant-ph/0204035,
title = {Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems},
author = {Michael Kavic},
journal= {arXiv preprint arXiv:quant-ph/0204035},
year = {2009}
}
Comments
8 pages, 2 figures; typos corrected