Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics

Physics – Quantum Physics

Scientific paper

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Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2008.054

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.

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