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arXiv:quant-ph/0112005quant-ph

Seven Steps Towards the Classical World

Valia Allori, Detlef Dürr, Shelly Goldstein, Nino Zanghí

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Abstract

Classical physics is about real objects, like apples falling from trees, whose motion is governed by Newtonian laws. In standard Quantum Mechanics only the wave function or the results of measurements exist, and to answer the question of how the classical world can be part of the quantum world is a rather formidable task. However, this is not the case for Bohmian mechanics, which, like classical mechanics, is a theory about real objects. In Bohmian terms, the problem of the classical limit becomes very simple: when do the Bohmian trajectories look Newtonian?

arXiv comments
16 pages, LaTeX, uses latexsym
Journal reference
DOI
doi:10.1088/1464-4266/4/4/344
Subjects
quant-phQuantum Physics

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    • The evolution of the system in Bohmian mechanics includes the motion of the particles which is a non-linear and highly non-trivial equation which allows for chaos to appear. Classical mechanics emerges from the theory under suitable conditions. An outline of the reasoning can be…

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