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On a solution of the Schrodinger equation with a hyperbolic double-well potential (1211.0913v2)
Published 5 Nov 2012 in math-ph, math.MP, and quant-ph
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.
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