Resonances for Dirac operators on the half-line |
| |
| Authors: | Alexei Iantchenko Evgeny Korotyaev |
| |
| Affiliation: | 1. Malmö högskola, Teknik och samhälle, 205 06 Malmö, Sweden;2. Mathematical Physics Department, Faculty of Physics, Ulianovskaya 2, St. Petersburg State University, St. Petersburg, 198904, Russia |
| |
| Abstract: | ![]()
We consider the 1D Dirac operator on the half-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. |
| |
| Keywords: | Resonances 1D Dirac Modified Fredholm determinant |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
