Quantum Potential and Symmetries in Extended Phase Space
The behavior of the quantum potential is studied for a particle in a linear and a harmonic potential by means of an extended phase space technique. This is done by obtaining an expression for the quantum potential in momentum space representation followed by the generalization of this concept to ext...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146105 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Quantum Potential and Symmetries in Extended Phase Space / S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 31 назв. — англ. |
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Nasiri, S. 2019-02-07T13:27:06Z 2019-02-07T13:27:06Z 2006 Quantum Potential and Symmetries in Extended Phase Space / S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 31 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81S30 https://nasplib.isofts.kiev.ua/handle/123456789/146105 The behavior of the quantum potential is studied for a particle in a linear and a harmonic potential by means of an extended phase space technique. This is done by obtaining an expression for the quantum potential in momentum space representation followed by the generalization of this concept to extended phase space. It is shown that there exists an extended canonical transformation that removes the expression for the quantum potential in the dynamical equation. The situation, mathematically, is similar to disappearance of the centrifugal potential in going from the spherical to the Cartesian coordinates that changes the physical potential to an effective one. The representation where the quantum potential disappears and the modified Hamilton-Jacobi equation reduces to the familiar classical form, is one in which the dynamical equation turns out to be the Wigner equation. The financial support of Research Council of Zanjan University, Zanjan, Iran is appreciated. I also would like to thank Mr. B. Farnudi for editing the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Potential and Symmetries in Extended Phase Space Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Quantum Potential and Symmetries in Extended Phase Space |
| spellingShingle |
Quantum Potential and Symmetries in Extended Phase Space Nasiri, S. |
| title_short |
Quantum Potential and Symmetries in Extended Phase Space |
| title_full |
Quantum Potential and Symmetries in Extended Phase Space |
| title_fullStr |
Quantum Potential and Symmetries in Extended Phase Space |
| title_full_unstemmed |
Quantum Potential and Symmetries in Extended Phase Space |
| title_sort |
quantum potential and symmetries in extended phase space |
| author |
Nasiri, S. |
| author_facet |
Nasiri, S. |
| publishDate |
2006 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
The behavior of the quantum potential is studied for a particle in a linear and a harmonic potential by means of an extended phase space technique. This is done by obtaining an expression for the quantum potential in momentum space representation followed by the generalization of this concept to extended phase space. It is shown that there exists an extended canonical transformation that removes the expression for the quantum potential in the dynamical equation. The situation, mathematically, is similar to disappearance of the centrifugal potential in going from the spherical to the Cartesian coordinates that changes the physical potential to an effective one. The representation where the quantum potential disappears and the modified Hamilton-Jacobi equation reduces to the familiar classical form, is one in which the dynamical equation turns out to be the Wigner equation.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146105 |
| citation_txt |
Quantum Potential and Symmetries in Extended Phase Space / S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 31 назв. — англ. |
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AT nasiris quantumpotentialandsymmetriesinextendedphasespace |
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2025-11-27T20:18:32Z |
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2025-11-27T20:18:32Z |
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1850852756117520384 |