The Statistical Origins of Quantum Mechanics
Author
Source
Physics Research International
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-23
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
It is shown that Schrödinger's equation may be derived from three postulates.
The first is a kind of statistical metamorphosis of classical mechanics, a set of two relations which are obtained from the canonical equations of particle mechanics by replacing all observables by statistical averages.
The second is a local conservation law of probability with a probability current which takes the form of a gradient.
The third is a principle of maximal disorder as realized by the requirement of minimal Fisher information.
The rule for calculating expectation values is obtained from a fourth postulate, the requirement of energy conservation in the mean.
The fact that all these basic relations of quantum theory may be derived from premises which are statistical in character is interpreted as a strong argument in favor of the statistical interpretation of quantum mechanics.
The structures of quantum theory and classical statistical theories are compared, and some fundamental differences are identified.
American Psychological Association (APA)
Klein, U.. 2011. The Statistical Origins of Quantum Mechanics. Physics Research International،Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-499742
Modern Language Association (MLA)
Klein, U.. The Statistical Origins of Quantum Mechanics. Physics Research International No. 2010 (2010), pp.1-18.
https://search.emarefa.net/detail/BIM-499742
American Medical Association (AMA)
Klein, U.. The Statistical Origins of Quantum Mechanics. Physics Research International. 2011. Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-499742
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499742