Novel quasi-exactly solvable models with anharmonic singular potentials
Mathematical Physics
2013-01-15 v3 High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly via the functional Bethe ansatz method. For each case, we give closed-form solutions for the energies and the wave functions as well as analytical expressions for the allowed potential parameters in terms of a set of algebraic equations.
Cite
@article{arxiv.1201.3427,
title = {Novel quasi-exactly solvable models with anharmonic singular potentials},
author = {Davids Agboola and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:1201.3427},
year = {2013}
}
Comments
LaTex 18 pages. Updated version to appear in Annals of Physics