Publication Details:
Journal or Publication Title:
Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
Date of publication:
Volume:
Number:
ISSN:
Official URL:
Title:
On a Validity Criterion for the Born Approximation
Creator:
Corporate Creators:
Institute of Radiophysics and Electronics of NAS RA
Subject:
Physics ; Quantum mechanics, field theories, and special relativity
Coverage:
Abstract:
In this presentation a validity criterion for the Born approximation is examined for elastic scattering on a finite range radially symmetric potential in multidimensional space. Our analysis utilizes the transformation properties of the radial Schrödinger equation for S waves. The analytic structure of criterion is found to yield the corresponding results for low dimensional cases in a rather natural way. Some peculiarities of perturbative scattering in 2+Ω dimensions are brought out.