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arXiv · 1201.3427

Novel quasi-exactly solvable models with anharmonic singular potentials

Davids Agboola·Yao-Zhong Zhang
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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.

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Davids Agboola, Yao-Zhong Zhang. 2012-11-25. Novel quasi-exactly solvable models with anharmonic singular potentials. https://doi.org/10.1016/j.aop.2012.11.013

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