A Modification of Nambu's Mechanics

dc.creatorVarga, Peter
dc.date1997-01-04
dc.date1997-07-25
dc.date.accessioned2026-07-07T09:08:58Z
dc.date.available2026-07-07T09:08:58Z
dc.descriptionThe Poisson, contact and Nambu brackets define algebraic structures on $C^{\infty}(M)$ satisfying the Jacobi identity or its generalization. The automorphism groups of these brackets are the symplectic, contact and volume preserving diffeomorphism groups. We introduce a modification of the Nambu bracket, which defines an evolution equation generating the whole diffeomorphism group. The relation between the modified and usual Nambu brackets is similar to the relation between the Poisson and contact structures. We briefly discuss the problem of quantization of the modified bracket.
dc.descriptionrevised version, 10 pages AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/9701006
dc.identifierhttp://arxiv.org/abs/quant-ph/9701006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150912
dc.subjectQuantum Physics
dc.subjectQuantum Algebra
dc.titleA Modification of Nambu's Mechanics
dc.typetext

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