Condensed Matter Physics, 2009, vol. 12, No. 4, pp. 603-616

Title: The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization
  N.N. Bogolubov (Jr.) (The V.A. Steklov Mathematical Institute of RAN, Moscow, Russian Federation; The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy) ,
  A.K. Prykarpatsky (The AGH University of Science and Technology, Kraków 30-059, Poland; The Ivan Franko State Pedagogical University, Drohobych, Lviv region, Ukraine)

The work is devoted to the study of the Lagrangian and Hamiltonian properties of some relativistic electrodynamics models and is a continuation of our previous investigations. Based on the vacuum field theory approach, the Lagrangian and Hamiltonian reformulation of some classical electrodynamics models is devised. The Dirac type quantization procedure, based on the canonical Hamiltonian formulation, is developed. Within the approach proposed in the work a possibility of the combined description both of electrodynamics and gravity is analyzed.

Key words: Lagrangian and Hamiltonian formalism, relativistic electrodynamics models, Dirac type quantization
PACS: 11.10.Wx, 05.30.-d

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