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The partition function for "composite particles"

1999/09/13 by M. C. Bergère, M. Bergère, Bergère, M.
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematical functions and polynomials #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9909179

flatex part.tex, 2 files [SPhT-T99/097] Submitted to: J. Math. Phys

arxiv created 1999/09/13 · openalex publication_date 1999/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the partition function for "composite particles". For any finite number of states d, and in the following two cases: 1)all states have the same energy, 2)the energy is linearly distributed over the states, we transform the partition function into a finite sum of terms which exhibit trivially their % d dependance. The infinite d thermodynamic limit is obtained as well as the finite d-size corrections, etc. In the second case, we obtain the finite d-size corrections to "the universal chiral partition function for exclusion statistics".

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