The absence of the Efimov effect in systems of one- and two-dimensional particles
Abstract:
We study virtual levels of $N$-particle Schrödinger operators and prove that if the particles are one-dimensional and $N\ge3$, then virtual levels at the bottom of the essential spectrum correspond to eigenvalues. The same is true for two-dimensional particles if $N\ge4$. These results are applied to prove the non-existence of the Efimov effect in systems of $N\ge4$ one-dimensional or $N\ge5$ two-dimensional particles.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 09.2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000150502 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 51 S. |
| Serie | CRC 1173 Preprint ; 2022/41 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |