Some Aspects of Noncommutativity on Real, p-Adic and Adelic Spaces

dc.creatorDragovich, Branko
dc.creatorRakic, Zoran
dc.date2006-02-28
dc.date.accessioned2026-07-07T07:02:56Z
dc.date.available2026-07-07T07:02:56Z
dc.descriptionClassical and quantum mechanics for an extended Heisenberg algebra with canonical commutation relations for position and momentum coordinates are considered. In this approach additional noncommutativity is removed from the algebra by linear transformation of phase space coordinates and transmitted to the Hamiltonian (Lagrangian). This transformation does not change the quadratic form of Hamiltonian (Lagrangian) and Feynman's path integral maintains its well-known exact expression for quadratic systems. The compact matrix formalism is presented and can be easily employed in particular cases. Some p-adic and adelic aspects of noncommutativity are also considered.
dc.description17 pages, to appear in Proc. of the Conference 'Contemporay Geometry and Related Topics', (June 26 - July 2, 2005, Belgrade, Serbia and Montenegro)
dc.identifierhttps://arxiv.org/abs/hep-th/0602288
dc.identifierhttp://arxiv.org/abs/hep-th/0602288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108783
dc.subjectHigh Energy Physics - Theory
dc.titleSome Aspects of Noncommutativity on Real, p-Adic and Adelic Spaces
dc.typetext

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