Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization

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dc.creatorMayburov, S.
dc.date2006-09-07
dc.date.accessioned2026-07-07T07:26:36Z
dc.date.available2026-07-07T07:26:36Z
dc.descriptionQuantum Space-Time and Phase Space with fuzzy geometric structure are studied as possible formalism for quantization of massive particles and fields. In this approach the state of nonrelativistic particle m described by the fuzzy point of fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m coordinate x principal uncertainty is generic in this ansatz. It's shown that in 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral formalism of Quantum Mechanics (QM).
dc.descriptionLatex, 15 pages, Talk given on 'Foundations of Physics and Computations' Conference, Udine, 2004)
dc.identifierhttps://arxiv.org/abs/quant-ph/0609056
dc.identifierhttp://arxiv.org/abs/quant-ph/0609056
dc.identifierProc.Steklov Inst.Math. 245 (2004) 154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117137
dc.subjectQuantum Physics
dc.titleFuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization
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