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

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dc.creatorHalvorson, Hans
dc.date2000-03-17
dc.date.accessioned2026-07-07T05:59:44Z
dc.date.available2026-07-07T05:59:44Z
dc.descriptionWithin 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 (Journal of Philosophy, 1979), 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.
dc.description26 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0003074
dc.identifierhttp://arxiv.org/abs/quant-ph/0003074
dc.identifierJournal of Philosophical Logic 30, 27-50 (2001)
dc.identifierdoi:10.1023/A:1017574203443
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88788
dc.subjectQuantum Physics
dc.titleOn the nature of continuous physical quantities in classical and quantum mechanics
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