The analytic properties of the scattering amplitude in non-relativistic quantum mechanics

F. Riahi

J. J. Giambiagi, I. Saavedra

Francisco Antônio Bezerra Coutinho

In the textbooks of elementary quantum mechanics, two-particle scattering is treated by introducing the concept of off-the-energy shell scattering amplitude. On the other hand, in relativistic quantum field theory, the need to treat momentum and energy on the same footing forces one to use an off-the-mass shell scattering amplitude. We believe the introducing the off-the-mass shell extrapolation of the scattering amplitude in nonrelativistic quantum mechanics should be illuminating. We try to show this in this paper.

Werner O. Amrein

Bentol Hoda Yazarloo, Hossein Mehraban, HASSAN HASSANABADI

In this paper, we study the scattering properties of s-wave Schrödinger equation for the multi-parameter potential, which can be reduced into four special cases for different values of potential parameters, i.e., Hulthén, Manning–Rosen, and Eckart potentials. We also obtain and investigate the scattering amplitudes of these special cases. Some numerical results are also obtained and reported.

Ph. Droz-Vincent