Derivation of Bose-Einstein and Fermi-Dirac statistics from quantum mechanics: Gauge-theoretical structure

Yuho Yokoi, Sumiyoshi Abe

Published 2017-07-15Version 1

A possible quantum-mechanical origin of statistical mechanics is discussed. Microcanonical and canonical ensembles of bosons and fermions are derived from quantum mechanics. The interaction Hamiltonians are constructed based on the discrete phase operators and the gauge invariance associated with them. A discussion is also made about the interrelation between disappearance of the interactions and random phases.