Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
| dc.creator | Exner, Pavel | |
| dc.creator | Post, Olaf | |
| dc.date | 2008-11-22 | |
| dc.date.accessioned | 2026-07-07T10:20:31Z | |
| dc.date.available | 2026-07-07T10:20:31Z | |
| dc.description | We discuss approximations of vertex couplings of quantum graphs using families of thin branched manifolds. We show that if a Neumann type Laplacian on such manifolds is amended by suitable potentials, the resulting Schrödinger operators can approximate non-trivial vertex couplings. The latter include not only the delta-couplings but also those with wavefunctions discontinuous at the vertex. We work out the example of the symmetric delta'-couplings and conjecture that the same method can be applied to all couplings invariant with respect to the time reversal. | |
| dc.description | 19 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0811.3707 | |
| dc.identifier | http://arxiv.org/abs/0811.3707 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174875 | |
| dc.subject | Mathematical Physics | |
| dc.title | Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds | |
| dc.type | text |