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The Classical Limit of an Atom

Published online by Cambridge University Press:  21 October 2009

C. R. Stroud Jr.
Affiliation:
The Institute of Optics, University of Rochester, Rochester, New York 14627-0187
W. T. Grandy, Jr
Affiliation:
University of Wyoming
P. W. Milonni
Affiliation:
Los Alamos National Laboratory
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Summary

ABSTRACT. A series of recent experiments and calculations are described that study the classical limit of an atom. The classical limit of an atom is defined to be the quantum mechanical state that most nearly approximates the ideal of a classical particle traveling in a Kepler orbit. It is found that correspondence between the quantum and classical descriptions is always in the form of ensembles of many realizations so long as the electron is taken to be a point particle. Even in the limit of a wave packet made up of states with all quantum numbers large there are distinctly quantum interference features in the evolution of the quantum ensemble. However, when the classical theory is modified by allowing within the ensemble only the Kepler orbits corresponding to energies and angular momenta allowed by Bohr's old quantum theory, most of the interference features are produced by the ensemble of classical particles.

Ed Jaynes has been characterized variously as a physicist, a statistician, an inventor, a free thinker, a teacher, a mentor, and a rabble rouser. It is hard to dispute his right to any of these mantles he might wish to claim, but it is equally hard to find a finite set of descriptors that do him justice. From my own selfish point of view his most important contribution has been to act as a source of ideas and new ways of looking at some long-standing and fundamental problems.

Type
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Physics and Probability
Essays in Honor of Edwin T. Jaynes
, pp. 117 - 126
Publisher: Cambridge University Press
Print publication year: 1993

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