On the nature of continuous physical quantities in classical and quantum mechanics
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Within the traditional Hubert 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. KEY WORDS: Boolean algebra, probability measure, unsharp quantum logic
Originalsprog | Engelsk |
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Tidsskrift | Journal of Philosophical Logic |
Vol/bind | 30 |
Udgave nummer | 1 |
Sider (fra-til) | 27-50 |
ISSN | 0022-3611 |
DOI | |
Status | Udgivet - 2001 |
Eksternt udgivet | Ja |
ID: 289118864