On a Validity Criterion for the Born Approximation
Author
Hovakimian Hovakimian
Source journal
Armenian Journal of Physics, vol. 11, issue 4
Published
2018-11-15
Licence
as stated by the publisher
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.
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