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Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
Інший ID:
2000 Mathematics Subject Classification: 37J15; 81Q05; 81R05; 81S30
Посилання:
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.
Підтримка:
Both authors would like to express their gratitude to the Instituto de F´ısica, UNAM, that made possible the visit of the first author to Mexico. One of the authors (D.S.) would like to thank Dr. Robert Berger for valuable and stimulating discussions.
Дата:
2008
Переглядів:
514
Завантажень:
224
Анотація:
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.
