SOLUTION OF THE INVERSE SCATTERING PROBLEM AT FIXED ENERGY FOR POTENTIALS BEING ZERO BEYOND A FIXED RADIUS-Reference-Cited by-同舟云学术

SOLUTION OF THE INVERSE SCATTERING PROBLEM AT FIXED ENERGY FOR POTENTIALS BEING ZERO BEYOND A FIXED RADIUS

Published:2008-09-10 Issue:23 Volume:22 Page:2137-2149
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

HORVÁTH MIKLÓS¹,APAGYI BARNABÁS²

Affiliation:

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

2. Physics Department, Budapest University of Technology and Economics, H-1111 Budapest, Budafoki út 8, Hungary

Abstract

Based on the relation between the m-function and the spectral function we construct an inverse quantum scattering procedure at fixed energy which can be applied to spherical radial potentials vanishing beyond a fixed radius a. To solve the Gelfand–Levitan–Marchenko integral equation for the transformation kernel, we determine the input symmetrical kernel by using a minimum norm method with moments defined by the input set of scattering phase shifts. The method applied to the box and Gauss potentials needs further practical developments regarding the treatment of bound states.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984908016923

Reference1 articles.

1. Inverse scattering with fixed energy and an inverse eigenvalue problem on the half-line

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