Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.2158745
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dc.titleCommon axioms for inferring classical ensemble dynamics and quantum theory
dc.contributor.authorParwani, R.R.
dc.date.accessioned2014-10-16T09:49:50Z
dc.date.available2014-10-16T09:49:50Z
dc.date.issued2006-01-04
dc.identifier.citationParwani, R.R. (2006-01-04). Common axioms for inferring classical ensemble dynamics and quantum theory. AIP Conference Proceedings 810 : 387-392. ScholarBank@NUS Repository. <a href="https://doi.org/10.1063/1.2158745" target="_blank">https://doi.org/10.1063/1.2158745</a>
dc.identifier.isbn0735403015
dc.identifier.issn0094243X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/98656
dc.description.abstractThe 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1063/1.2158745
dc.sourceScopus
dc.subjectAxioms
dc.subjectClassical ensembles
dc.subjectNonlinear extensions
dc.subjectSchrödinger equation
dc.typeConference Paper
dc.contributor.departmentPHYSICS
dc.description.doi10.1063/1.2158745
dc.description.sourcetitleAIP Conference Proceedings
dc.description.volume810
dc.description.page387-392
dc.identifier.isiutNOT_IN_WOS
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