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Published October 1, 1983 | public
Journal Article Open

Time-dependent mean-field approximations for many-body observables


The excitation of a many-body system by a time-dependent perturbation is considered within the framework of functional integration. The stationary phase approximation to a functional-integral representation of the final expectation values of many-body observables in the interaction picture leads to a new time-dependent mean-field theory. The resulting equations of motion depend upon the observable itself and consequently are nonlocal in time. The method is illustrated by an analytically soluble application to the forced harmonic oscillator.

Additional Information

©1983 The American Physical Society Received 21 June 1983 One of the authors (T.T.) acknowledges a Richard Chace Tolman Fellowship from the California Institute of Technology and thanks Professor A. K. Kerman and Professor R. Balian for useful discussions he enjoyed with them. We would also like to thank our theoretical colleagues in the Kellog Lab for their encouragements, particularly Dr. O. Van Roosmalen.


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