Multilayer Anisotropic Thin Film with a Twist
ISSN: 1829-1171
Submitted: 2026-07-17
Natural Sciences, Physics, 2026
On a Validity Criterion for the Born Approximation
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Submitted: 2026-07-24
© 2026 by author(s) and The Gufo Inc.
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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.