Bosonized Momentum Distribution of a Fermi Gas via Friedrichs Diagrams
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908477227532288 |
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| author | Lill, Sascha |
| author_facet | Lill, Sascha |
| contents | Recently, Benedikter and the author proved an approximate formula for the momentum distribution of a 3d fermionic gas interacting by a short-range pair potential in the mean-field regime, within a trial state close to the ground state. Here, we derive an exact formula for the momentum distribution in this trial state, using a diagrammatic formalism due to Friedrichs. We further demonstrate how the formula of Benedikter and the author arises from a restriction of the contributing diagrams to those corresponding to a bosonization approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11945 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bosonized Momentum Distribution of a Fermi Gas via Friedrichs Diagrams Lill, Sascha Mathematical Physics Quantum Gases Strongly Correlated Electrons 81V70, 81V74, 81Q12, 81S05 Recently, Benedikter and the author proved an approximate formula for the momentum distribution of a 3d fermionic gas interacting by a short-range pair potential in the mean-field regime, within a trial state close to the ground state. Here, we derive an exact formula for the momentum distribution in this trial state, using a diagrammatic formalism due to Friedrichs. We further demonstrate how the formula of Benedikter and the author arises from a restriction of the contributing diagrams to those corresponding to a bosonization approximation. |
| title | Bosonized Momentum Distribution of a Fermi Gas via Friedrichs Diagrams |
| topic | Mathematical Physics Quantum Gases Strongly Correlated Electrons 81V70, 81V74, 81Q12, 81S05 |
| url | https://arxiv.org/abs/2311.11945 |