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Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
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...
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| Language: | English |
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Інститут математики НАН України
2008
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149027 |
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irk-123456789-1490272019-02-20T01:28:47Z Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics Schuch, D. Moshinsky, M. 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. 2008 Article 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. 1815-0659 2000 Mathematics Subject Classification: 37J15; 81Q05; 81R05; 81S30 http://dspace.nbuv.gov.ua/handle/123456789/149027 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Schuch, D. Moshinsky, M. |
| spellingShingle |
Schuch, D. Moshinsky, M. Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Schuch, D. Moshinsky, M. |
| author_sort |
Schuch, D. |
| title |
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics |
| title_short |
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics |
| title_full |
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics |
| title_fullStr |
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics |
| title_full_unstemmed |
Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics |
| title_sort |
wigner distribution functions and the representation of canonical transformations in time-dependent quantum mechanics |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149027 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT schuchd wignerdistributionfunctionsandtherepresentationofcanonicaltransformationsintimedependentquantummechanics AT moshinskym wignerdistributionfunctionsandtherepresentationofcanonicaltransformationsintimedependentquantummechanics |
| first_indexed |
2023-05-20T17:32:01Z |
| last_indexed |
2023-05-20T17:32:01Z |
| _version_ |
1796153501025304576 |