Abstract—Closed form analytical expressions for integral transforms of the free particle Green’s functions by the form factors of the separable potential and Hankel function are evaluated by adopting various approaches to the problem to construct off-shell Jost/irregular solution of inhomogeneous Schrödinger type equation for motion in Graz separable potential. Off-shell Jost function is also computed numerically.

Index Terms—Green’s functions, integral transforms, separable potential model, off-shell jost solution and function.

The authors are with the Department of Physics, National Institute of Technology, Jamshedpur, Jharkhand-831014, India (e-mail:　jskbhoi@gmail.com).

Cite: Jhasaketan Bhoi, Ujjwal Laha, "Integral Transforms and Their Applications to Scattering Theory," International Journal of Applied Physics and Mathematics vol. 4, no. 6, pp. 386-405, 2014.