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Open Quantum Systems Decoherence

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

arXiv
Authors: Yuho Yokoi, Sumiyoshi Abe

Year

2017

Paper ID

44599

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

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 by the use of the discrete phase operators and the gauge-theoretical structure associated with them. It is shown how the interaction Hamiltonians stipulated by the gauge symmetry generate the specific patterns of entanglement that are desired for establishing microcanonical ensembles. A discussion is also made about the interrelation between random phases and perfect decoherence in the vanishing-interaction limit.

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  • A possible quantum-mechanical origin of statistical mechanics is discussed, and microcanonical and canonical ensembles of bosons and fermions are derived from the stationary...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.04753 [2] arXiv https://arxiv.org/abs/1707.04753 [3] Publisher https://arxiv.org/abs/1707.04753

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