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arXiv · 1303.3669

The Scattering amplitude for one parameter family of shape invariant potentials related to Xm Jacobi polynomials

Rajesh Kumar Yadav·Avinash Khare·Bhabani Prasad Mandala
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Abstract

We consider the recently discovered, one parameter family of exactly solvable shape invariant potentials which are isospectral to the generalized Pöschl-Teller potential. By explicitly considering the asymptotic behaviour of the Xm Jacobi polynomials associated with this system (m = 1, 2, 3, ...), the scattering amplitude for the one parameter family of potentials is calculated explicitly.

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Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandala. 2013-03-15. The Scattering amplitude for one parameter family of shape invariant potentials related to Xm Jacobi polynomials. https://doi.org/10.1016/j.physletb.2013.05.036

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