Ground state energy of the low density Bose gas with two-body and three-body interactions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915753656057856 |
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| author | Visconti, François L. A. |
| author_facet | Visconti, François L. A. |
| contents | In the present paper we study the low density Bose gas in the thermodynamic limit interacting via two-body and three-body interaction potentials. We prove that the leading order of the ground state energy is entirely characterised by both the scattering length of the two-body potential and the scattering energy of the three-body potential. The corresponding result for two-body interactions was proven in seminal papers of Dyson (1957) and of Lieb-Yngvason (1998), and the result for three-body interactions was proven by Nam-Ricaud-Triay (2022). The present result resolves a conjecture of Nam-Ricaud-Triay (2022). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground state energy of the low density Bose gas with two-body and three-body interactions Visconti, François L. A. Mathematical Physics In the present paper we study the low density Bose gas in the thermodynamic limit interacting via two-body and three-body interaction potentials. We prove that the leading order of the ground state energy is entirely characterised by both the scattering length of the two-body potential and the scattering energy of the three-body potential. The corresponding result for two-body interactions was proven in seminal papers of Dyson (1957) and of Lieb-Yngvason (1998), and the result for three-body interactions was proven by Nam-Ricaud-Triay (2022). The present result resolves a conjecture of Nam-Ricaud-Triay (2022). |
| title | Ground state energy of the low density Bose gas with two-body and three-body interactions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2402.05646 |