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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.07606 |
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| _version_ | 1866910472159100928 |
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| author | Conti, Roberto Morsella, Gerardo |
| author_facet | Conti, Roberto Morsella, Gerardo |
| contents | Using Araki-Yamagami's characterization of quasi-equivalence for quasi-free representations of the CCRs, we provide an abstract criterion for the existence of isomorphisms of second quantization local von Neumann algebras induced by Bogolubov transformations in terms of the respective one particle modular operators. We discuss possible applications to the problem of local normality of vacua of Klein-Gordon fields with different masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07606 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasi-free isomorphisms of second quantisation algebras and modular theory Conti, Roberto Morsella, Gerardo Operator Algebras Mathematical Physics Using Araki-Yamagami's characterization of quasi-equivalence for quasi-free representations of the CCRs, we provide an abstract criterion for the existence of isomorphisms of second quantization local von Neumann algebras induced by Bogolubov transformations in terms of the respective one particle modular operators. We discuss possible applications to the problem of local normality of vacua of Klein-Gordon fields with different masses. |
| title | Quasi-free isomorphisms of second quantisation algebras and modular theory |
| topic | Operator Algebras Mathematical Physics |
| url | https://arxiv.org/abs/2305.07606 |