Echter, Carolyn and Maier, Georg and Urbina, Juan-Diego and Lewenkopf, Caio and Richter, Klaus (2025) Many-body density of states of bosonic and fermionic gases: a combinatorial approach. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 58 (6): 065002. ISSN 1751-8113, 1751-8121
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We use a combinatorial approach to obtain exact expressions for the many-body density of states of fermionic and bosonic gases with equally spaced single-particle spectra. We identify a mapping that reveals a remarkable property, namely, fermionic and bosonic gases have the same many-body density of states, up to a shift corresponding to ground state energy. Additionally, we show that there is a regime, comprising the validity range of the Bethe approximation, where the many-body density of states becomes independent of the number of particles.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM; THERMALIZATION; bethe approximation; density of states; non-interacting many-body systems; combinatorics |
| Subjects: | 500 Science > 510 Mathematics 500 Science > 530 Physics |
| Divisions: | Mathematics Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Jun 2026 08:09 |
| Last Modified: | 18 Jun 2026 08:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66243 |
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