Scattering Phases and Density of States for Exterior Domain
| dc.creator | Eckmann, J. -P. | |
| dc.creator | Pillet, C. -A. | |
| dc.date | 1995-02-04 | |
| dc.date.accessioned | 2026-07-07T09:07:46Z | |
| dc.date.available | 2026-07-07T09:07:46Z | |
| dc.description | For a bounded open domain $Ω\in \real^2$ with connected complement and piecewise smooth boundary, we consider the Dirichlet Laplacian $-\DO$ on $Ω$ and the S-matrix on the complement $Ω^c$. Using the restriction $A_E$ of $(-Δ-E)^{-1}$ to the boundary of $Ω$, we establish that $A_{E_0}^{-1/2}A_EA_{E_0}^{-1/2}-1$ is trace class when $E_0$ is negative and give bounds on the energy dependence of this difference. This allows for precise bounds on the total scattering phase, the definition of a $ζ$-function, and a Krein spectral formula, which improve similar results found in the literature. | |
| dc.description | 15 pages, Postscript, A4 | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9502002 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9502002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150487 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Scattering Phases and Density of States for Exterior Domain | |
| dc.type | text |