Title variants
Languages of publication
Abstracts
A possible way from quantum mechanics to classical mechanics can be achieved with an exponential substitution used in the Schrödinger equation, and then considering the classical limit. This gives a picture of classical fluid and an ensemble of classical trajectories. In difference from this approach to the classical limit, while utilising the same substitution, we assume a minimum uncertainty wave packet. It is shown that this approach to the classical limit of quantum mechanics yields a single trajectory traced by the centroid of the minimum uncertainty wave packet. The momentum and the centroid of such packet satisfy the classical Hamilton-Jacobi equation.
Keywords
Journal
Year
Volume
Issue
Pages
709-716
Physical description
Dates
published
2002-12
received
2002-07-03
Contributors
author
- Peranga Court, Unit 4, 43 Fifth Av., Sandgate QLD 4017, Australia
References
- 1. D.I. Davydov, Quantum Mechanics, Pergamon, New York 1965, p. 49
- 2. D.I. Blokhintsev, Quantum Mechanics, Reidel, Dordrecht 1964, p. 102
- 3. L.E. Ballentine, Y.M. Yang, J.P. Zibin, Phys Rev. A, 50, 2854, 1994
- 4. A. Messiah, Quantum Mechanics, Vol. 1, North-Holland, Amsterdam 1961, p. 222
- 5. L.E. Ballentine, J.P. Zibin, Phys. Rev. A, 54, 3813, 1996
- 6. L.E. Ballentine, S.M. McRae, Phys. Rev. A, 58, 1799, 1998
- 7. L. Kocis, Acta Phys. Pol. A, 101, 213, 2002
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv102n606kz