On the nature of continuous physical quantities in classical and quantum mechanics

Journal of Philosophical Logic 30 (1):27-50 (2001)
Abstract
Within the traditional Hilbert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical mechanics. On the contrary, I shall show that the same subtle issues arise with respect to continuous quantities in classical and quantum mechanics; and that it is, after all, possible to describe a particle as possessing a sharp position value without altering the standard formalism of quantum mechanics
Keywords Boolean algebra  probability measure  unsharp quantum logic
Categories (categorize this paper)
Reprint years 2004
DOI 10.1023/A:1017574203443
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,195
Through your library
References found in this work BETA
Interpreting the Quantum World.Jeffrey Bub - 1998 - British Journal for the Philosophy of Science 49 (4):637-641.
Effect Algebras and Unsharp Quantum Logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
A Uniqueness Theorem for 'No Collapse' Interpretations of Quantum Mechanics.J. Bub & R. Clifton - 1996 - Studies in History and Philosophy of Science Part B 27 (2):181-219.
Definability of Measures and Ultrafilters.David Pincus & Robert M. Solovay - 1977 - Journal of Symbolic Logic 42 (2):179-190.
Maximal Beable Subalgebras of Quantum-Mechanical Observables.Hans Halvorson & Rob Clifton - 1999 - International Journal of Theoretical Physics 38:2441-2484.

View all 8 references / Add more references

Citations of this work BETA
Complementarity of Representations in Quantum Mechanics.Hans Halvorson - 2004 - Studies in History and Philosophy of Science Part B 35 (1):45-56.
Complementarity of Representations in Quantum Mechanics.Hans Halvorson - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):45-56.
Why Be Normal?Laura Ruetsche - 2011 - Studies in History and Philosophy of Science Part B 42 (2):107-115.
Why Be Normal?Laura Ruetsche - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):107-115.

Add more citations

Similar books and articles
On the Classical Limit of Quantum Mechanics.Valia Allori & Nino Zanghi - 2008 - Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.
Quantities in Quantum Mechanics.John Forge - 2000 - International Studies in the Philosophy of Science 14 (1):43 – 56.
Relational Quantum Mechanics.Federico Laudisa - 2008 - Stanford Encyclopedia of Philosophy.
On the Explanation for Quantum Statistics.Simon Saunders - 2006 - Studies in History and Philosophy of Science Part B 37 (1):192-211.
Bohmian Insights Into Quantum Chaos.James T. Cushing - 2000 - Philosophy of Science 67 (3):445.

Monthly downloads

Added to index

2009-01-28

Total downloads

248 ( #13,870 of 2,163,980 )

Recent downloads (6 months)

5 ( #62,484 of 2,163,980 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums