Derivation of Bose–Einstein and Fermi–Dirac statistics from quantum mechanics: gauge-theoretical structure. (27th February 2018)

• Record Type: Journal Article
• Authors: Yokoi, Yuho; Abe, Sumiyoshi
• Is Part Of: Journal of statistical mechanics. (2018:Feb.)
• Publication Date: 2018-02-27
• Subjects: 7 -- 2; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aaa794
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: A possible quantum-mechanical origin of statistical mechanics is discussed, and microcanonical and canonical ensembles of bosons and fermions are derived from the stationary Schrödinger equation in a unified manner. The interaction Hamiltonians are constructed using discrete phase operators and the gauge-theoretical structure associated with them. It is shown how interaction Hamiltonians, stipulated by the gauge symmetry, generate the specific patterns of entanglement desired for establishing microcanonical ensembles. A discussion is also made about the interrelation between random phases and perfect decoherence in the vanishing-interaction limit.