%0 Journal Article
%T Novel quasi-exactly solvable models with anharmonic singular potentials
%A Davids Agboola
%A Yao-Zhong Zhang
%J Physics
%D 2012
%I arXiv
%R 10.1016/j.aop.2012.11.013
%X 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.
%U http://arxiv.org/abs/1201.3427v3