The divine clockwork: Bohr's correspondence principle and Nelson's stochastic mechanics for the atomic elliptic state
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, Wales (United Kingdom)
We consider the Bohr correspondence limit of the Schroedinger wave function for an atomic elliptic state. We analyze this limit in the context of Nelson's stochastic mechanics, exposing an underlying deterministic dynamical system in which trajectories converge to Keplerian motion on an ellipse. This solves the long standing problem of obtaining Kepler's laws of planetary motion in a quantum mechanical setting. In this quantum mechanical setting, local mild instabilities occur in the Keplerian orbit for eccentricities greater than (1/{radical}(2)) which do not occur classically.
- OSTI ID:
- 21100226
- Journal Information:
- Journal of Mathematical Physics, Vol. 49, Issue 3; Other Information: DOI: 10.1063/1.2837434; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Theory of high-order harmonic generation and attosecond pulse emission by a low-frequency elliptically polarized laser field
Bohr's correspondence principle: The cases for which it is exact
Conservative diffusions: a constructive approach to Nelson's stochastic mechanics
Journal Article
·
Sat Jul 15 00:00:00 EDT 2006
· Physical Review. A
·
OSTI ID:21100226
Bohr's correspondence principle: The cases for which it is exact
Journal Article
·
Sun Dec 01 00:00:00 EST 2002
· Physical Review. A
·
OSTI ID:21100226
Conservative diffusions: a constructive approach to Nelson's stochastic mechanics
Thesis/Dissertation
·
Sun Jan 01 00:00:00 EST 1984
·
OSTI ID:21100226