Celestial mechanics on a microscopic scale

Details Celestial mechanics on a microscopic scale Celestial mechanics on a microscopic scale

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991sci...253...42u&link_type=abstract

Science (ISSN 0036-8075), vol. 253, July 5, 1991, p. 42-48. Research supported by NSF and DARPA.

Physics

Atomic Physics

31

Atomic Physics, Classical Mechanics, Nuclear Physics, Quantum Mechanics, Atomic Structure, Electric Fields, Intramolecular Structures, Magnetic Fields, Molecular Physics, Rydberg Series

Scientific paper

The combination of nonlinear dynamics, group theory, and semiclassical methods furnishes a potent basis for ascertaining the underlying structures and trends of experimental data and detailed numerical simulations alike. Attention is presently given to several examples from microscopic physics whose results have unified and clarified the results of numerous experimental, quantum, and even classical studies. Problems are noted to remain in the treatment of more than two dimensions, where such phenomena as Arnold diffusion may be important, and in the correspondence principle limit of quantum mechanics, when the classical dynamics is chaotic.

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