Fuzziness in Quantum Mechanics

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dc.creatorGranik, A.
dc.creatorCaulfield, H. J.
dc.date2001-07-09
dc.date.accessioned2026-07-07T06:02:25Z
dc.date.available2026-07-07T06:02:25Z
dc.descriptionIt is shown that quantum mechanics can be regarded as what one might call a "fuzzy" mechanics whose underlying logic is the fuzzy one, in contradistinction to the classical "crisp" logic. Therefore classical mechanics can be viewed as a crisp limit of a "fuzzy" quantum mechanics. Based on these considerations it is possible to arrive at the Schroedinger equation directly from the Hamilton-Jacobi equation. The link between these equations is based on the fact that a unique ("crisp") trajectory of a classical particle emerges out of a continuum of possible paths collapsing to a single trajectory according to the principle of least action. This can be interpreted as a consequence of an assumption that a quantum "particle" "resides" in every path of the continuum of paths which collapse to a single(unique) trajectory of an observed classical motion. A wave function then is treated as a function describing a deterministic entity having a fuzzy character. As a consequence of such an interpretation, the complimentarity principle and wave-particle duality can be abandoned in favor of a fuzzy deterministic microoobject.
dc.description20 pages, 2 figures, Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/0107054
dc.identifierhttp://arxiv.org/abs/quant-ph/0107054
dc.identifierPhysics Essays, vol.9,496, (1996)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89595
dc.subjectQuantum Physics
dc.titleFuzziness in Quantum Mechanics
dc.typetext

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