Universality of quantum symplectic structure

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dc.creatorDass, Tulsi
dc.date2007-09-27
dc.date.accessioned2026-07-07T08:34:14Z
dc.date.available2026-07-07T08:34:14Z
dc.descriptionOperating in the framework of `supmech' (a scheme of mechanics which aims at providing a concrete setting for the axiomatization of physics and probability theory as required in Hilbert's sixth problem; integrating noncommutative symplectic geometry and noncommutative probability in an algebraic setting, it associates, with every `experimentally accessible' system, a symplectic algebra and operates essentially as noncommutative Hamiltonian mechanics with some extra sophistication in the treatment of states) it is shown that interaction between systems can be consistently described only if either (i) all system algebras are commutative or (ii) all system algebras are noncommutative and have a quantum symplectic structure characterized by a UNIVERSAL Planck type real-valued constant of the dimension of action.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0709.4312
dc.identifierhttp://arxiv.org/abs/0709.4312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139364
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.subject81S10; 81T75
dc.titleUniversality of quantum symplectic structure
dc.typetext

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