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Bibliographic Details
Main Authors: Ouvry, Stephane, Polychronakos, Alexios P.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.03429
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Table of 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.