Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Quantum Physics
2008-12-19 v1 Mathematical Physics
math.MP
Abstract
For classical canonical transformations, one can, using the Wigner transformation, pass from their representation in Hilbert space to a kernel in phase space. In this paper it will be discussed how the time-dependence of the uncertainties of the corresponding time-dependent quantum problems can be incorporated into this formalism.
Cite
@article{arxiv.0807.1966,
title = {Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics},
author = {Dieter Schuch and Marcos Moshinsky},
journal= {arXiv preprint arXiv:0807.1966},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/