Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1856358 | Annals of Physics | 2016 | 15 Pages |
Abstract
In 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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare, Bijan Bagchi, Bhabani Prasad Mandal,