Bound states in bent soft waveguides
Abstract:
The aim of this paper is to show that a two-dimensional Schrödinger operator with the potential in the form of a ‘ditch’ of a fixed profile can have a geometrically induced discrete spectrum. This occurs if such a potential channel has a single or multiple bends, being straight outside a compact. Moreover, under stronger geometric restrictions, the claim remains true in the presence of a potential bias at one of the channel ‘banks.’
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsdatum | 29.05.2024 |
| Sprache | Englisch |
| Identifikator | ISSN: 1664-039X, 1664-0403 KITopen-ID: 1000172018 |
| Erschienen in | Journal of Spectral Theory |
| Verlag | European Mathematical Society |
| Band | 14 |
| Heft | 2 |
| Seiten | 427–457 |
| Nachgewiesen in | Dimensions Scopus OpenAlex Web of Science |
| Relationen in KITopen |