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

dc.contributor.author	Downing, C.A.
dc.date.accessioned	2015-03-24T09:52:39Z
dc.date.issued	2013-07-01
dc.description.abstract	We report a solution of the one-dimensional Schrödinger 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 confluent Heun polynomials is possible, representing the wavefunctions of bound states.	en_GB
dc.description.sponsorship	Engineering and Physical Sciences Research Council (EPSRC)	en_GB
dc.identifier.citation	Vol.54 (7), article 072101	en_GB
dc.identifier.doi	10.1063/1.4811855
dc.identifier.uri	http://hdl.handle.net/10871/16575
dc.language.iso	en	en_GB
dc.publisher	American Institute of Physics (AIP)	en_GB
dc.subject	Wave functions	en_GB
dc.subject	Differential equations	en_GB
dc.subject	Polynomials	en_GB
dc.subject	Bound states	en_GB
dc.subject	Eigenvalues	en_GB
dc.title	On a solution of the Schrödinger equation with a hyperbolic double-well potential	en_GB
dc.type	Article	en_GB
dc.date.available	2015-03-24T09:52:39Z
dc.identifier.issn	0022-2488
dc.description	Copyright © 2013 AIP Publishing	en_GB
dc.identifier.eissn	1089-7658
dc.identifier.journal	Journal of Mathematical Physics	en_GB