Covariant Hamiltonian formalisms for particles and antiparticles
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The hyperplane and proper time formalisms are discussed mainly for the spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is showed that choosing the space-like hyperplanes instantaneously orthogonal to the direction of motion of the particle the proper time formalism is retrieved on the mass shell. As a consequence, the relation between the Stückelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified.
19 pages, Latex, to be published in Int. J. Theor. Phys
19 pages, Latex, to be published in Int. J. Theor. Phys