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Autores principales: Ouvry, Stephane, Polychronakos, Alexios P.
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2402.03429
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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