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Prog. Theor. Phys. Vol. 66 No. 1 (1981) pp. 129-142

[ Full Text PDF : FREE ACCESS (445K) ]

Adiabatic Elimination by the Eigenfunction Expansion Method

Kunihiko Kaneko

Department of Physics, University of Tokyo, Tokyo 113

(Received February 3, 1981)

Abstract:

The systematic adiabatic elimination method is formulated using the eigenfunction expansion method, in terms of the small parameter γ-1, which is the time scale for a fast variable. This method is applied to the linear processes with some examples of an optical system and a chemical reaction model. We also apply this method to the colored noise problems, to obtain the lowest correction of the effect of the memory.


URL : http://ptp.ipap.jp/link?PTP/66/129/
DOI : 10.1143/PTP.66.129

[ Full Text PDF : FREE ACCESS (445K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 98-117 :
    On the Contraction of Fast Driving Variables from Stochastic Processes
    Hiroshi Hasegawa, Masahiko Mizuno and Mahito Mabuchi

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