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https://doi.org/10.1063/1.2827...
Article . 2007 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2007
License: arXiv Non-Exclusive Distribution
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Classical Mechanics as Nonlinear Quantum Mechanics

Authors: Hrvoje Nikolić; Guillaume Adenier; Andrei Yu. Khrennikov; Pekka Lahti; Vladimir I. Man'ko; Theo M. Nieuwenhuizen;

Classical Mechanics as Nonlinear Quantum Mechanics

Abstract

All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a linear equation is real and positive, rather than complex. This has profound implications on the role of the Bohmian classical-like interpretation of linear quantum mechanics, as well as on the possibilities to find a consistent interpretation of arbitrary nonlinear generalizations of quantum mechanics.

7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16, 2007

Country
Croatia
Related Organizations
Keywords

High Energy Physics - Theory, Quantum Physics, High Energy Physics - Theory (hep-th), nonlinear quantum mechanics, classical mechanics, FOS: Physical sciences, classical mechanics; nonlinear quantum mechanics, Quantum Physics (quant-ph)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green