Bound states due to a strong $δ$ interaction supported by a curved surface
| dc.creator | Exner, Pavel | |
| dc.creator | Kondej, Sylwia | |
| dc.date | 2002-07-19 | |
| dc.date | 2002-11-14 | |
| dc.date.accessioned | 2026-07-07T06:33:58Z | |
| dc.date.available | 2026-07-07T06:33:58Z | |
| dc.description | We study the Schrödinger operator $-Δ-αδ(x-Γ)$ in $L^2(\R^3)$ with a $δ$ interaction supported by an infinite non-planar surface $Γ$ which is smooth, admits a global normal parameterization with a uniformly elliptic metric. We show that if $Γ$ is asymptotically planar in a suitable sense and $α>0$ is sufficiently large this operator has a non-empty discrete spectrum and derive an asymptotic expansion of the eigenvalues in terms of a ``two-dimensional'' comparison operator determined by the geometry of the surface $Γ$. [A revised version, to appear in J. Phys. A] | |
| dc.description | LaTeX 2e, 21 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0207025 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0207025 | |
| dc.identifier | J. Phys. A36 (2003), 443-457 | |
| dc.identifier | doi:10.1088/0305-4470/36/2/311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99373 | |
| dc.subject | Mathematical Physics | |
| dc.title | Bound states due to a strong $δ$ interaction supported by a curved surface | |
| dc.type | text |