Add to ORKGThe 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
In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allo...
A novel theory is outlined for describing the dynamics of relativistic electrons and positrons. By i...
A space-time symmetric and explicitly Lorentz covariant path integral formalism of relativistic quan...
International audienceThe formulation of a relativistic dynamical problem as a system of Hamilton eq...
Several quantum proper time derivatives are obtained from the Beck one in the usual framework of rel...
Using techniques of geometric quantization and SO(sub 0)(3,2)-coherent states, a notion of optimal l...
The conventional phase space of classical physics treats space and time differently, and this differ...
I illustrate a simple hamiltonian formulation of general relativity, derived from the work of Esposi...
Polymomentum canonical theories, which are manifestly covariant multi-parameter generalizations of t...
20 pages, no figures. Revision: minor corrections and references addedIn it's usual presentation, cl...
We present a manifestly covariant quantization procedure based on the de Donder--Weyl Hamiltonian fo...
Starting with the generally well accepted opinion that quantizing an arbitrary Hamiltonian system in...
Covariant classical particle dynamics is described, and the associated covariant relativistic partic...
19 pages, no figuresHamiltonian mechanics of field theory can be formulated in a generally covariant...
In this paper explore the relation between covariant and canonical approaches to quantum gravity and...
In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allo...
A novel theory is outlined for describing the dynamics of relativistic electrons and positrons. By i...
A space-time symmetric and explicitly Lorentz covariant path integral formalism of relativistic quan...
International audienceThe formulation of a relativistic dynamical problem as a system of Hamilton eq...
Several quantum proper time derivatives are obtained from the Beck one in the usual framework of rel...
Using techniques of geometric quantization and SO(sub 0)(3,2)-coherent states, a notion of optimal l...
The conventional phase space of classical physics treats space and time differently, and this differ...
I illustrate a simple hamiltonian formulation of general relativity, derived from the work of Esposi...
Polymomentum canonical theories, which are manifestly covariant multi-parameter generalizations of t...
20 pages, no figures. Revision: minor corrections and references addedIn it's usual presentation, cl...
We present a manifestly covariant quantization procedure based on the de Donder--Weyl Hamiltonian fo...
Starting with the generally well accepted opinion that quantizing an arbitrary Hamiltonian system in...
Covariant classical particle dynamics is described, and the associated covariant relativistic partic...
19 pages, no figuresHamiltonian mechanics of field theory can be formulated in a generally covariant...
In this paper explore the relation between covariant and canonical approaches to quantum gravity and...
In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allo...
A novel theory is outlined for describing the dynamics of relativistic electrons and positrons. By i...
A space-time symmetric and explicitly Lorentz covariant path integral formalism of relativistic quan...