Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-17
Int.J.Theor.Phys. 38 (1999) 243-257
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, Latex, to be published in Int. J. Theor. Phys
Scientific paper
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 St\"uckelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified.
Gaioli Fabian H.
Garcia Alvarez Edgardo T.
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