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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 054, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.054 (Mi sigma307) 		 
This article is cited in 11 scientific papers (total in 11 papers)

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

Dieter Schucha, Marcos Moshinskyb

a Institut für Theoretische Physik, Goethe-Universität Frankfurt am Main, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany
b Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México D.F., México
Full-text PDF (232 kB) Citations (11)
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DOI: https://doi.org/10.3842/SIGMA.2008.054
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.
Keywords: canonical transformations; Wigner function; time-dependent quantum mechanics; quantum uncertainties.
Received: February 6, 2008; in final form June 8, 2008; Published online July 14, 2008
Bibliographic databases:
Document Type: Article
MSC: 37J15; 81Q05; 81R05; 81S30
Language: English
Citation: Dieter Schuch, Marcos Moshinsky, “Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics”, SIGMA, 4 (2008), 054, 12 pp.
Citation in format AMSBIB
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\by Dieter Schuch, Marcos Moshinsky
\paper Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
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\vol 4
\papernumber 054
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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