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arXiv · 1604.02452

Scattering amplitudes for the rationally extended P T symmetric complex potentials

Nisha Kumari·Rajesh Kumar Yadav·Avinash Khare·Bijan Bagchi·Bhabani Prasad Mandal
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Abstract

In this paper, we consider the rational extensions of two different P T symmetric complex potentials namely the asymptotically vanishing Scarf II and asymptotically non-vanishing Rosen-Morse II [ RM-II] potentials and obtain bound state eigenfunc- tions in terms of newly found exceptional Xm Jacobi polynomials and also some new type of orthogonal polynomials respectively. By considering the asymptotic behaviour of the exceptional polynomials, we obtain the reflection and transmission amplitudes for them and discuss the various novel properties of the corresponding amplitudes.

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Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare, Bijan Bagchi, Bhabani Prasad Mandal. 2016-04-08. Scattering amplitudes for the rationally extended P T symmetric complex potentials. https://doi.org/10.1016/j.aop.2016.07.024

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