Ukrainian mathematical congress  2009
Anatoliy Prykarpatsky (Drohobych Ivan Franko State Pedagogical University, Ukraine) Nikolai N. Bogolubov (Steklov Mathematical Institute RAS, Moscow, Russia) A new vacuum field theory approach to the Maxwell electrodynamics and the related lagrangian and hamiltonian analysis The report is devoted to studying some new classical electro dynamics models of interacting charged point particles and related with them the MaxwellLorentz and Einstein special relativity aspects. Based on the vacuum eld theory no geometry approach, developed in [1, 2], the Lagrangian and Hamiltonian reformulations of some alternative classical elec trodynamics models are devised. The Lorentz force structure and the Dirac type quantization procedure for the considered alternative electrodynamics models, based on the obtained canonical Hamiltonian formulations, are discussed.
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