SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS-Reference-Cited by-同舟云学术

SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS

Published:2011-02 Issue:01 Volume:23 Page:53-81
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

PANKRASHKIN KONSTANTIN¹,RICHARD SERGE²

Affiliation:

1. Laboratoire de Mathématiques d'Orsay, CNRS UMR 8628, Université Paris-Sud XI, Bâtiment 425, 91405 Orsay Cedex, France

2. Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Cambridge, CB3 0WB, UK

Abstract

We review the spectral and the scattering theory for the Aharonov–Bohm model on ℝ2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high energy and at low energy of the scattering operator are computed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X11004205

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