|
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
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
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.
Linking options:
https://www.mathnet.ru/eng/sigma307 https://www.mathnet.ru/eng/sigma/v4/p54
|
Statistics & downloads: |
Abstract page: | 767 | Full-text PDF : | 63 | References: | 39 |
|