A local trace formula for resonances of perturbed periodic Schrödinger operators |
| |
| Authors: | Mouez Dimassi |
| |
| Institution: | LAGA, Institut Galilée, Université Paris-Nord, 99 Ave J.B. Clément, 93430 Villetaneuse, France |
| |
| Abstract: | We give a local trace formula for the pair (P1(h)=P0+W(hy),P0), where P0 is a periodic Schrödinger operator, W is a decreasing perturbation and h is a small positive parameter. We apply this result to establish the existence of ∼h−n resonances near some energy λ of σ(P0). |
| |
| Keywords: | 35P99 47A60 47A40 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
