A trace formula and high energy spectral asymptotics for the perturbed Landau Hamiltonian
| dc.creator | Korotyaev, Evgeni | |
| dc.creator | Pushnitski, Alexander | |
| dc.date | 2003-10-02 | |
| dc.date.accessioned | 2026-07-07T05:01:34Z | |
| dc.date.available | 2026-07-07T05:01:34Z | |
| dc.description | A two-dimensional Schrödinger operator with a constant magnetic field perturbed by a smooth compactly supported potential is considered. The spectrum of this operator consists of eigenvalues which accumulate to the Landau levels. We call the set of eigenvalues near the $n$'th Landau level an $n$'th eigenvalue cluster, and study the distribution of eigenvalues in the $n$'th cluster as $n\to\infty$. A complete asymptotic expansion for the eigenvalue moments in the $n$'th cluster is obtained and some coefficients of this expansion are computed. A trace formula involving the first eigenvalue moments is obtained. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310021 | |
| dc.identifier | http://arxiv.org/abs/math/0310021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68723 | |
| dc.subject | Spectral Theory | |
| dc.title | A trace formula and high energy spectral asymptotics for the perturbed Landau Hamiltonian | |
| dc.type | text |