Hidden gauge structure and derivation of microcanonical ensemble theory of bosons from quantum principles
Sumiyoshi Abe, Tsunehiro Kobayashi
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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