On the Efimov Effect for Four Particles in Dimension Two
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917251540582400 |
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| author | Rau, Jonathan Schulz, Marvin R. |
| author_facet | Rau, Jonathan Schulz, Marvin R. |
| contents | We prove that the Schrödinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body subsystem has a virtual level at zero energy. Our result establishes an analog of the Efimov effect for such four-particle systems in two dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05942 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Efimov Effect for Four Particles in Dimension Two Rau, Jonathan Schulz, Marvin R. Mathematical Physics Quantum Physics 81Q10, 81V70 We prove that the Schrödinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body subsystem has a virtual level at zero energy. Our result establishes an analog of the Efimov effect for such four-particle systems in two dimensions. |
| title | On the Efimov Effect for Four Particles in Dimension Two |
| topic | Mathematical Physics Quantum Physics 81Q10, 81V70 |
| url | https://arxiv.org/abs/2602.05942 |