2020
DOI: 10.48550/arxiv.2007.15661
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Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble

Hatem Barghathi,
Jiangyong Yu,
Adrian Del Maestro

Abstract: We present a self-contained theory for the exact calculation of particle number counting statistics of non-interacting indistinguishable particles in the canonical ensemble. This general framework introduces the concept of auxiliary partition functions, and represents a unification of previous distinct approaches with many known results appearing as direct consequences of the developed mathematical structure. In addition, we introduce a general decomposition of the correlations between occupation numbers in te… Show more

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