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The Electromagnetic Lorentz Problem and the Hamiltonian Structure Analysis of the Maxwell-Yang-Mills Type Dynamical Systems within the Reduction Method

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dc.contributor.author Taneri, U.
dc.contributor.author Prykarpatsky, Y.
dc.contributor.author Vovk, M.
dc.contributor.author Prykarpatsky, A.
dc.date.accessioned 2015-08-11T05:51:00Z
dc.date.available 2015-08-11T05:51:00Z
dc.date.issued 2009
dc.identifier.citation The Electromagnetic Lorentz Problem and the Hamiltonian Structure Analysis of the Maxwell-Yang-Mills Type Dynamical Systems within the Reduction Method / Taneri U. ... [et al.]. // Наукові записки НаУКМА. - 2009. - Т. 87 : Фізико-математичні науки. - С. 38-44. uk
dc.identifier.uri http://ekmair.ukma.edu.ua/handle/123456789/5982
dc.description.abstract Based on analysis of reduced geometric structures on fi bered manifolds, invariant under action of an abelian functional symmetry group, we construct the symplectic structures associated with connection forms on the related principal fi ber bundles with abelian functional structure groups. The Marsden-Weinstein reduction procedure is applied to the Maxwell and Yang-Mills type dynamical systems. The geometric properties of Lorentz type constraints, describing the electromagnetic fi eld properties in vacuum and related with the well known Dirac-Fock-Podolsky problem, are discussed. uk
dc.language.iso uk uk
dc.subject symplectic structures uk
dc.subject Lorentz constraints uk
dc.subject principal fiber bundles uk
dc.title The Electromagnetic Lorentz Problem and the Hamiltonian Structure Analysis of the Maxwell-Yang-Mills Type Dynamical Systems within the Reduction Method uk
dc.type Article uk
dc.status published earlier uk


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