Zero-energy states for a class of quasi-exactly solvable rational potentials
Quantum Physics
2009-10-30 v1
Abstract
Quasi-exactly solvable rational potentials with known zero-energy solutions of the Schro\" odinger equation are constructed by starting from exactly solvable potentials for which the Schr\" odinger equation admits an so(2,1) potential algebra. For some of them, the zero-energy wave function is shown to be normalizable and to describe a bound state.
Keywords
Cite
@article{arxiv.quant-ph/9703037,
title = {Zero-energy states for a class of quasi-exactly solvable rational potentials},
author = {B. Bagchi and C. Quesne},
journal= {arXiv preprint arXiv:quant-ph/9703037},
year = {2009}
}
Comments
LaTeX, 13 pages, 2 figures on request, to appear in Phys. Lett. A