Reinterpretation of Quantum Mechanics Based on the Statistical Interpretation

Foundations of Physics 28 (11):1633-1662 (1998)

Abstract
I attempt to develop further the statistical interpretation of quantum mechanics proposed by Einstein and developed by Popper, Ballentine, etc. Two ideas are proposed in the present paper. One is to interpret momentum as a property of an ensemble of similarly prepared systems which is not satisfied by any one member of the ensemble of systems. Momentum is regarded as a statistical parameter like temperature in statistical mechanics. The other is the holistic assumption that a probability distribution is determined as a whole as most likely to be realized. This is the same as the chief assumption in statistical mechanics, and maximum likelihood in classical statistics. These ideas enable us to understand statistically (1) the formalism of quantum mechanics, (2) Heisenberg's uncertainty relations, and (3) the origin of quantum equations. They also explain violation of Bell's inequality and the interference of probabilities
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1023/A:1018841625620
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,206
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Reality and Non-Reality of Physical Variables).Hisato Shirai - 2009 - Annals of the Japan Association for Philosophy of Science 18:29-43.

Add more citations

Similar books and articles

Mandelstam's Interpretation of Quantum Mechanics in Comparative Perspective.A. A. Pechenkin - 2002 - International Studies in the Philosophy of Science 16 (3):265 – 284.
Quantum Statistical Determinism.Eftichios Bitsakis - 1988 - Foundations of Physics 18 (3):331-355.
Statistical Mechanics and the Ontological Interpretation.D. Bohm & B. J. Hiley - 1996 - Foundations of Physics 26 (6):823-846.
Everett and Evidence.Hilary Greaves & Wayne Myrvold - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
Facts, Values and Quanta.D. M. Appleby - 2005 - Foundations of Physics 35 (4):627-668.

Analytics

Added to PP index
2013-11-22

Total views
14 ( #619,442 of 2,285,691 )

Recent downloads (6 months)
1 ( #837,842 of 2,285,691 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature