paper

On a solution of the Schrodinger equation with a hyperbolic double-well potential

arXiv:1211.0913 · doi:10.1063/1.4811855

Abstract

We report a solution of the one-dimensional Schrodinger equation with a hyperbolic double-well confining potential via a transformation to the so-called confluent Heun equation. We discuss the requirements on the parameters of the system in which a reduction to Heun polynomials is possible, representing the wavefunctions of bound states.

8 pages, 6 figures

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