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 happens 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 | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 05.2023 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000158514 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 26 S. |
| Serie | CRC 1173 Preprint ; 2023/13 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |