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 Maxwell-Lorentz 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.