We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a formalism that is fully invariant under both standard and time dependent coordinate transformations. This result considerably enlarges the set of possible phase space representations of quantum mechanics and makes it possible to construct a causal representation for the distributional sector of Wigner quantum mechanics
Statistical reformulation of quantum mechanics in terms of phase-space distribution functions as giv...
LaTeX file. 11 pages. To appear in Deformation Quantization: Proceedings of the meeting between math...
International audienceCanonical transformations are ubiquitous in Hamiltonian mechanics, since they ...
SIGLECNRS RP 232 (36) / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
The conventional group of four-dimensional diffeomorphisms is not realizeable as a canonical transfo...
Wigner’s 1932 quasi-probability Distribution Function in phase-space, his first paper in English, is...
A canonical transformation changes variables such as coordinates and momenta to new variables preser...
In this lecture, a limited introduction of gauge invariance in phase-space is provided, predicated o...
20 pages, no figures. Revision: minor corrections and references addedIn it's usual presentation, cl...
In this paper we extend the standard Moyal formalism to the tangent and cotangent bundle of the phas...
Covariance of stochastic mechanics under changes of time and simultaneous time-dependent changes of ...
We have derived an equation of motion for a Wigner operator in phase space, which is the phase-space...
We present a generally covariant approach to quantum mechanics in which generalized positions, momen...
Diffeomorphism-induced symmetry transformations and time evolution are distinct operations in genera...
Classical physics is reformulated as a constrained Hamiltonian system in the history phase space. Dy...
Statistical reformulation of quantum mechanics in terms of phase-space distribution functions as giv...
LaTeX file. 11 pages. To appear in Deformation Quantization: Proceedings of the meeting between math...
International audienceCanonical transformations are ubiquitous in Hamiltonian mechanics, since they ...
SIGLECNRS RP 232 (36) / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
The conventional group of four-dimensional diffeomorphisms is not realizeable as a canonical transfo...
Wigner’s 1932 quasi-probability Distribution Function in phase-space, his first paper in English, is...
A canonical transformation changes variables such as coordinates and momenta to new variables preser...
In this lecture, a limited introduction of gauge invariance in phase-space is provided, predicated o...
20 pages, no figures. Revision: minor corrections and references addedIn it's usual presentation, cl...
In this paper we extend the standard Moyal formalism to the tangent and cotangent bundle of the phas...
Covariance of stochastic mechanics under changes of time and simultaneous time-dependent changes of ...
We have derived an equation of motion for a Wigner operator in phase space, which is the phase-space...
We present a generally covariant approach to quantum mechanics in which generalized positions, momen...
Diffeomorphism-induced symmetry transformations and time evolution are distinct operations in genera...
Classical physics is reformulated as a constrained Hamiltonian system in the history phase space. Dy...
Statistical reformulation of quantum mechanics in terms of phase-space distribution functions as giv...
LaTeX file. 11 pages. To appear in Deformation Quantization: Proceedings of the meeting between math...
International audienceCanonical transformations are ubiquitous in Hamiltonian mechanics, since they ...