American Journal of Physics

Forced harmonic oscillator in the interaction picture

Richard A. Ferrell

Published May 1, 1977• 18 citations

Abstract

The interaction picture of quantum mechanics is used to calculate the unitary time development operator for a harmonic oscillator subject to an arbitrary time-dependent force. The result is identical to that obtained from the more usual method of the Heisenberg equations of motion, except for a phase factor which the Heisenberg picture method is unable to determine. A simplified derivation of the phase factor is given in the adiabatic limit, as well as a discussion of some possible physical effects which would depend upon the phase factor.

DOI: 10.1119/1.10822

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