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Title: Common axioms for inferring classical ensemble dynamics and quantum theory
Authors: Parwani, R.R. 
Keywords: Axioms
Classical ensembles
Nonlinear extensions
Schrödinger equation
Issue Date: 4-Jan-2006
Citation: Parwani, R.R. (2006-01-04). Common axioms for inferring classical ensemble dynamics and quantum theory. AIP Conference Proceedings 810 : 387-392. ScholarBank@NUS Repository.
Abstract: The same set of physically motivated axioms can be used to construct both the classical ensemble Hamilton-Jacobi equation and Schrödingers equation. Crucial roles are played by the assumptions of universality and simplicity (Occam's Razor) which restrict the number and type of of arbitrary constants that appear in the equations of motion. In this approach, non-relativistic quantum theory is seen as the unique single parameter extension of the classical ensemble dynamics. The method is contrasted with other related constructions in the literature and some consequences of relaxing the axioms are also discussed: for example, the appearance of nonlinear higher-derivative corrections possibly related to gravity and spacetime fluctuations. Finally, some open research problems within this approach are highlighted. © 2006 American Institute of Physics.
Source Title: AIP Conference Proceedings
ISBN: 0735403015
ISSN: 0094243X
DOI: 10.1063/1.2158745
Appears in Collections:Staff Publications

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