Geometric (pre)quantization in the polysymplectic approach to field theory

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dc.creatorKanatchikov, I. V.
dc.date2001-12-31
dc.date2002-06-03
dc.date.accessioned2026-07-07T04:12:55Z
dc.date.available2026-07-07T04:12:55Z
dc.descriptionThe prequantization map for a Poisson-Gerstenhaber algebra of dynamical variables represented by differential forms within the polysymplectic formulation of the De Donder--Weyl covariant Hamiltonian field theory is presented and the corresponding prequantum Schroedinger equation for a non-homogeneous form valued wave function is derived. This is the first step toward understanding the procedures of covariant precanonical field quantization from the point of view of geometric quantization.
dc.description12 pages, LaTeX. V2: minor corrections, important Note added in proofs, references detailed
dc.identifierhttps://arxiv.org/abs/hep-th/0112263
dc.identifierhttp://arxiv.org/abs/hep-th/0112263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51073
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subjectQuantum Physics
dc.titleGeometric (pre)quantization in the polysymplectic approach to field theory
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