Problems for
Intermediate Methods in Theoretical Physics

Edward F. Redish

Contour Integration

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


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.


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This page prepared by

Edward F. Redish
Department of Physics
University of Maryland
College Park, MD 20742
Phone: (301) 405-6120

Last revision 7. December, 2005.