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Quantum Potential and Symmetries in Extended Phase Space
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Quantum Potential and Symmetries in Extended Phase Space
Інший ID:
2000 Mathematics Subject Classification: 81S30
Посилання:
Quantum Potential and Symmetries in Extended Phase Space / S. Nasiri // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 31 назв. — англ.
Підтримка:
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.
Дата:
2006
Переглядів:
540
Завантажень:
282
Анотація:
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.
