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The exact solution of two new types of Schrodinger equation

Published under licence by IOP Publishing Ltd
, , Citation H Exton 1995 J. Phys. A: Math. Gen. 28 6739 DOI 10.1088/0305-4470/28/23/023

0305-4470/28/23/6739

Abstract

A compact solution of a special biconfluent Heun equation is obtained by means of a Laplace transform. The eigenvalues and eigenfunctions of two new types of Schrodinger equation are deduced by appropriate variable transformations. The associated potential function in each case can be arranged to have a double well.

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10.1088/0305-4470/28/23/023