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Hidden gauge structure and derivation of microcanonical ensemble theory of bosons from quantum principles

Sumiyoshi Abe·Tsunehiro Kobayashi
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Abstract

Microcanonical ensemble theory of bosons is derived from quantum mechanics by making use of a hidden gauge structure. The relative phase interaction associated with this gauge structure, described by the Pegg-Barnett formalism, is shown to lead to perfect decoherence in the thermodynamics limit and the principle of equal a priori probability, simultaneously.

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Sumiyoshi Abe, Tsunehiro Kobayashi. 2002-05-31. Hidden gauge structure and derivation of microcanonical ensemble theory of bosons from quantum principles. https://doi.org/10.1103/physreve.67.036119

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