On a solution of the Schrodinger equation with a hyperbolic double-well
potential [PDF]
C. A. DowningWe 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.View original: http://arxiv.org/abs/1211.0913
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