1303.3669 (Rajesh Kumar Yadav et al.)

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

Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandala

We consider the recently discovered, one parameter family of exactly solvable shape invariant potentials which are isospectral to the generalized P\"oschl-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.

View original: http://arxiv.org/abs/1303.3669