A class of exactly solvable models for the Schrodinger equation

dc.contributor.author	Downing, C.A.
dc.date.accessioned	2015-03-30T14:08:38Z
dc.date.issued	2013-10-23
dc.description.abstract	We present a class of confining potentials which allow one to reduce the one-dimensional Schroodinger equation to a named equation of mathematical physics, namely either Bessel's or Whittaker's differential equation. In all cases, we provide closed form expressions for both the symmetric and antisymmetric wavefunction solutions, each along with an associated transcendental equation for allowed eigenvalues. The class of potentials considered contains an example of both cusp-like single wells and a double-well.	en_GB
dc.description.sponsorship	Engineering and Physical Sciences Research Council (EPSRC)	en_GB
dc.identifier.citation	Vol. 11 (8), pp 977-983	en_GB
dc.identifier.doi	10.2478/s11534-013-0301-6
dc.identifier.uri	http://hdl.handle.net/10871/16633
dc.language.iso	en	en_GB
dc.publisher	Springer Verlag	en_GB
dc.subject	solutions of wave equations: bound states	en_GB
dc.subject	Schrodinger equation	en_GB
dc.title	A class of exactly solvable models for the Schrodinger equation	en_GB
dc.type	Article	en_GB
dc.date.available	2015-03-30T14:08:38Z
dc.identifier.issn	1895-1082
dc.description	The final publication is available at Springer via the DOI in this record	en_GB
dc.identifier.eissn	1644-3608
dc.identifier.journal	Central European Journal of Physics	en_GB