Evaluation of Certain Fourier Integrals—Causality, Green’s Functions
The immediate purpose of the foregoing chapter was the evaluation of integrals like that in Equation 4.53. In the present chapter we continue this process by applying the theory of residues to such integrals.
KeywordsReal Axis Delta Function Step Function Fourier Integral Present Chapter
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- 1.On the use od contours such as C+ and C-, see Smith, L. P. Mathemstical Methods for Scientists and Engineers Engineers Cliffs, NJ. PPPrentice-Hall, Dover Reprint, 1961.Google Scholar
- 2.On Green’s functions in general, see Morse, P. M., and H. Feshbach. Methods of Theoretical Physics. New York; McGraw Hill, 1953.Google Scholar