Quantum fermions and quantum field theory from classical statistics

Details Quantum fermions and quantum field theory from classical statistics Quantum fermions and quantum field theory from classical statistics

2012-01-30

arxiv.org/abs/1201.6212v1

Physics

Quantum Physics

15 pages, proceedings Emergent Quantum Mechanics, Heinz von Foerster conference, Vienna

Scientific paper

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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