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

TL;DR

This paper derives the microcanonical ensemble theory for bosons from quantum principles using a hidden gauge structure, showing how phase interactions lead to decoherence and equal probability distribution in the thermodynamic limit.

Contribution

It introduces a hidden gauge structure in quantum mechanics to derive the microcanonical ensemble for bosons, connecting phase interactions with thermodynamic principles.

Findings

Phase interactions cause perfect decoherence in the thermodynamic limit.

The principle of equal a priori probability emerges from the gauge structure.

The derivation links quantum gauge structures to classical thermodynamic ensembles.

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.