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Phys. Rev. A 45, 2686 - 2694 (1992)

Combining quantum and classical perturbation theories

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J. H. Jensen
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

Received 9 May 1991

A method is proposed for combining quantum and classical perturbation theories into a single formalism. The method is applied to a model consisting of a periodically kicked particle in one dimension. The small-denominator problem and the transition, as ħ→0, from quantum to classical dynamics are discussed. It is found that the quantum to classical transition is characterized by two times, one scaling as ħ-2/3 and one scaling as ħ-1.


©1992 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v45/p2686
DOI: 10.1103/PhysRevA.45.2686
PACS: 03.65.Ca, 03.65.Sq, 02.90.+p

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