Problems for Intermediate Methods in Theoretical Physics Edward F. Redish

In our last class on using Fourier Series, we showed that for the harmonic oscillator equation

with a driving function, F(t), that the particular solution of the damped harmonic oscillator took the form

where

is the Fourier transform of the driving term.

Use contour integration techniques to evaluate this integral assuming that the F.T. of F is an analytic function of ω in the upper half of the complex ω plane and that it vanishes on the circle at infinity.

RETURNS

University of Maryland	Physics Department	Physics 374 Home

Last revision 7. December, 2005.