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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.03429 |
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| _version_ | 1866916932338319360 |
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| author | Ouvry, Stephane Polychronakos, Alexios P. |
| author_facet | Ouvry, Stephane Polychronakos, Alexios P. |
| contents | We present the microscopic formulation of inclusion statistics, a counterpoint to exclusion statistics in which particles tend to coalesce more than ordinary bosons. We derive the microscopic occupation multiplicities of 1-body quantum states and show that they factorize into a product of clusters of neighbouring occupied states with enhanced statistical weights. Applying this statistics to a one-dimensional gas of particles in a harmonic well leads to a Calogero-like n-body inclusion spectrum with interesting physical properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03429 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Microscopic inclusion statistics in a discrete 1-body spectrum Ouvry, Stephane Polychronakos, Alexios P. Statistical Mechanics We present the microscopic formulation of inclusion statistics, a counterpoint to exclusion statistics in which particles tend to coalesce more than ordinary bosons. We derive the microscopic occupation multiplicities of 1-body quantum states and show that they factorize into a product of clusters of neighbouring occupied states with enhanced statistical weights. Applying this statistics to a one-dimensional gas of particles in a harmonic well leads to a Calogero-like n-body inclusion spectrum with interesting physical properties. |
| title | Microscopic inclusion statistics in a discrete 1-body spectrum |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2402.03429 |