Title:
Scattering amplitudes for the rationally extended PT symmetric complex potentials

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dc.contributor.authorNisha Kumari
dc.contributor.authorRajesh Kumar Yadav
dc.contributor.authorAvinash Khare
dc.contributor.authorBijan Bagchi
dc.contributor.authorBhabani Prasad Mandal
dc.date.accessioned2026-02-07T08:15:58Z
dc.date.issued2016
dc.description.abstractIn this paper, we consider the rational extensions of two different classes of PT symmetric complex potentials namely the asymptotically vanishing Scarf II and asymptotically non-vanishing Rosen–Morse II [ RM-II] and obtain the accompanying bound state eigenfunctions in terms of the exceptional Xm Jacobi polynomials and a certain class of orthogonal polynomials. By considering the asymptotic behavior of the exceptional polynomials, we also derive the reflection and transmission amplitudes for them and discuss the various novel properties of the corresponding amplitudes. © 2016 Elsevier Inc.
dc.identifier.doi10.1016/j.aop.2016.07.024
dc.identifier.issn34916
dc.identifier.urihttps://doi.org/10.1016/j.aop.2016.07.024
dc.identifier.urihttps://dl.bhu.ac.in/bhuir/handle/123456789/28836
dc.publisherAcademic Press Inc.
dc.subjectExceptional orthogonal polynomial
dc.subjectExtended shape invariance
dc.subjectPT symmetric Rosen–Morse-II potential
dc.subjectPT symmetric Scarf-II potential
dc.subjectRationally extended potential
dc.subjectScattering amplitude
dc.titleScattering amplitudes for the rationally extended PT symmetric complex potentials
dc.typePublication
dspace.entity.typeArticle

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