Department

Physics

Document Type

Article

Publication Date

2-1995

Abstract

Transition amplitudes and probabilities for the harmonic oscillator with a forcing function proportional to cos(omegat) beginning at time zero are calculated to lowest nonvanishing order using time-dependent perturbation theory. The results are compared with the exact amplitudes and probabilities. When the exact amplitude is expanded in a Taylor series in powers of the coupling constant, the individual terms turn out to be the perturbation amplitudes, showing that the complete series of perturbation amplitudes converges to the exact amplitude.

Journal

American Journal of Physics

Journal ISSN

0002-9505

Volume

63

First Page

141

Digital Object Identifier (DOI)

10.1119/1.17971

Included in

Physics Commons

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