pith. sign in

arxiv: 1303.3669 · v1 · pith:LDZL6SS5new · submitted 2013-03-15 · 🪐 quant-ph · hep-th· math-ph· math.MP

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

classification 🪐 quant-ph hep-thmath-phmath.MP
keywords familyparameterpotentialsamplitudeexplicitlyinvariantjacobipolynomials
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.