Low-energy scattering for medium-range potentials

1 November 1986

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 27 (11) , 2720-2730
https://doi.org/10.1063/1.527294

Abstract

The low-energy behavior of the transmission coefficient in one dimension and of the phase shifts in two and three dimensions is studied for the Schrödinger equation with central potentials that have finite absolute moments of order between 1 and 2. Resulting modifications of Levinson’s theorem are also derived.

Keywords

This publication has 5 references indexed in Scilit:

Quantum scattering in two dimensions
American Journal of Physics, 1986
Threshold Behavior and Levinson's Theorem for Two-Dimensional Scattering Systems: A Surprise
Physical Review Letters, 1986
Scattering observables in arbitrary dimension $n \geq 2$
Physical Review A, 1984
Low-Energy Parametrization of Scattering Observables in $n$ -Dimensional Quantum Systems
Physical Review Letters, 1984
Inverse scattering on the line
Communications on Pure and Applied Mathematics, 1979