Quantum fermions and quantum field theory from classical statistics

An Ising-type classical statistical ensemble can describe the quantum physics of fermions if one chooses a particular law for the time evolution of the probability distribution. It accounts for the time evolution of a quantum field theory for Dirac particles in an external electromagnetic field. Thi...

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1. Verfasser: Wetterich, Christof (Verfasst von)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 30 Jan 2012
In: Arxiv
Year: 2012, Jahrgang: 361, Pages: 012031
Online-Zugang:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1201.6212
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Verfasserangaben:Christof Wetterich
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Zusammenfassung:An Ising-type classical statistical ensemble can describe the quantum physics of fermions if one chooses a particular law for the time evolution of the probability distribution. It accounts for the time evolution of a quantum field theory for Dirac particles in an external electromagnetic field. This yields in the non-relativistic one-particle limit the Schr\"odinger equation for a quantum particle in a potential. Interference or tunneling arise from classical probabilities.
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