Spectral and scattering theory for the Aharonov-Bohm operators

2009/11/24 by Konstantin Pankrashkin, K. Pankrashkin, S. Richard +3
Mathematics · Physics and Astronomy · #Numerical methods in inverse problems #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0911.4715

25 pages, Remark 1 and Reference [7] added

arxiv created 2009/12/01 · arxiv updated 2009/12/08

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 and at low energy of the scattering operator are computed.

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