The scattering amplitude for rationally extended shape invariant Eckart potentials

Mandal, Bhabani Prasad; KHARE, AVINASH; Yadav, Rajesh Kumar

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dc.contributor.author	Yadav, Rajesh Kumar	en_US
dc.contributor.author	KHARE, AVINASH	en_US
dc.contributor.author	Mandal, Bhabani Prasad	en_US
dc.date.accessioned	2019-03-15T11:27:05Z
dc.date.available	2019-03-15T11:27:05Z
dc.date.issued	2015-01	en_US
dc.identifier.citation	Physics Letters A, 379(3), 67-70.	en_US
dc.identifier.issn	0375-9601	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2304
dc.identifier.uri	https://doi.org/10.1016/j.physleta.2014.11.009	en_US
dc.description.abstract	We consider the rationally extended exactly solvable Eckart potentials which exhibit extended shape invariance property. These potentials are isospectral to the conventional Eckart potential. The scattering amplitude for these rationally extended potentials is calculated analytically for the generalized mth (m=1,2,3,...) case by considering the asymptotic behavior of the scattering state wave functions which are written in terms of some new polynomials related to the Jacobi polynomials. As expected, in the m=0 limit, this scattering amplitude goes over to the scattering amplitude for the conventional Eckart potential.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Scattering amplitude	en_US
dc.subject	Eckart potentials	en_US
dc.subject	Supersymmetric quantum mechanics	en_US
dc.subject	SQM	en_US
dc.subject	2015	en_US
dc.title	The scattering amplitude for rationally extended shape invariant Eckart potentials	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Physics	en_US
dc.identifier.sourcetitle	Physics Letters A	en_US
dc.publication.originofpublisher	Foreign	en_US