Dispersion Relation
المؤلف:
Byron, F. W. Jr. and Fuller, R. W
المصدر:
Mathematics of Classical and Quantum Physics. New York: Dover
الجزء والصفحة:
p. 344
28-11-2018
1036
Dispersion Relation
Any pair of equations giving the real part of a function as an integral of its imaginary part and the imaginary part as an integral of its real part. Dispersion relationships imply causality in physics. Let
 |
(1)
|
then
where 
denotes the Cauchy principal value and 
and 
are Hilbert transforms of each other. If the complex function is symmetric such that 
, then
REFERENCES:
Byron, F. W. Jr. and Fuller, R. W. Mathematics of Classical and Quantum Physics. New York: Dover, p. 344, 1992.
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