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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10495 |
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| _version_ | 1866908281898795008 |
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| author | Siebert, Oliver |
| author_facet | Siebert, Oliver |
| contents | We study the dynamics of non-relativistic fermions in $\mathbb R^d$ interacting through a pair potential. Employing methods developed by Buchholz in the framework of resolvent algebras, we identify an extension of the CAR algebra where the dynamics acts as a group of *-automorphisms, which are continuous in time in all sectors for fixed particle numbers. In addition, we identify a suitable dense subalgebra where the time evolution is also strongly continuous. Finally, we briefly discuss how this framework could be used to construct KMS states in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10495 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the thermodynamic limit of interacting fermions in the continuum Siebert, Oliver Mathematical Physics Operator Algebras Quantum Physics We study the dynamics of non-relativistic fermions in $\mathbb R^d$ interacting through a pair potential. Employing methods developed by Buchholz in the framework of resolvent algebras, we identify an extension of the CAR algebra where the dynamics acts as a group of *-automorphisms, which are continuous in time in all sectors for fixed particle numbers. In addition, we identify a suitable dense subalgebra where the time evolution is also strongly continuous. Finally, we briefly discuss how this framework could be used to construct KMS states in the future. |
| title | On the thermodynamic limit of interacting fermions in the continuum |
| topic | Mathematical Physics Operator Algebras Quantum Physics |
| url | https://arxiv.org/abs/2409.10495 |