Quantum mechanics without spacetime IV : a noncommutative Hamilton-Jacobi equation

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dc.creatorSingh, T. P.
dc.date2004-06-13
dc.date.accessioned2026-07-07T03:28:46Z
dc.date.available2026-07-07T03:28:46Z
dc.descriptionIt has earlier been argued that there should exist a formulation of quantum mechanics which does not refer to a background spacetime. In this paper we propose that, for a relativistic particle, such a formulation is provided by a noncommutative generalisation of the Hamilton-Jacobi equation. If a certain form for the metric in the noncommuting coordinate system is assumed, along with a correspondence rule for the commutation relations, it can be argued that this noncommutative Hamilton-Jacobi equation is equivalent to standard quantum mechanics.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0406054
dc.identifierhttp://arxiv.org/abs/gr-qc/0406054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34962
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleQuantum mechanics without spacetime IV : a noncommutative Hamilton-Jacobi equation
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