Resonances for 1D massless Dirac operators

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Resonances for 1D massless Dirac operators

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Publication Article, other scientific
Title Resonances for 1D massless Dirac operators
Author(s) Iantchenko, Alexei ; Korotyaev, Evgeny
Date 2013
English abstract
We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) estimates on the resonances and the for- bidden domain, 3) the trace formula in terms of resonances
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Publisher Institut Mittag-Leffler
Host/Issue Report;
ISSN 1103-467X
Pages 23 p.
Language eng (iso)
Subject(s) Massless Dirac
Zakharov Shabat
Modified Fredholm determinant
Research Subject Categories::MATHEMATICS
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