NOTES ON THE DISTRIBUTION OF PHASE SHIFTS-Reference-Cited by-同舟云学术

NOTES ON THE DISTRIBUTION OF PHASE SHIFTS

Published:2008-09-10 Issue:23 Volume:22 Page:2163-2175
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

HORVÁTH MIKLÓS¹

Affiliation:

1. Institute of Mathematics, Budapest University of Technology and Economics, Műegyetem rkp. 3-9, Budapest 1111, Hungary

Abstract

We consider three-dimensional inverse scattering with fixed energy for which the spherically symmetrical potential is nonvanishing only in a ball. We give exact upper and lower bounds for the phase shifts. We provide a variational formula for the Weyl–Titchmarsh m-function of the one-dimensional Schrödinger operator defined on the half-line.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984908016947

Reference7 articles.

1. Inverse Problems in Quantum Scattering Theory

2. Forward and inverse functional variations in elastic scattering

3. Reconstruction of intermolecular potentials at fixed energy: Functional sensitivity analysis approach

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3. Inequalities between the fixed-energy phase shifts;International Journal of Computing Science and Mathematics;2010