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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Authors: Schuch, D., Moshinsky, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149027
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics / D. Schuch, M. Moshinsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 25 назв. — англ.

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 i...