| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4609781 | Journal of Differential Equations | 2014 | 29 Pages |
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 forbidden domain, (3) the trace formula in terms of resonances.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alexei Iantchenko, Evgeny Korotyaev,