“Dispersion Relation”的概念、定义、习题解题方法及翻译-数学辞典

单词

Dispersion Relation

释义

Dispersion Relation

Any pair of equations giving the Real Part of a function as an integral of its Imaginary Part and theImaginary Part as an integral of its Real Part. Dispersion relationships imply causality in physics. Let

(1)

then

			(2)
			(3)

where

denotes the Cauchy Principal Value and

and

are Hilbert Transforms of each other. If the Complex function is symmetric such that

, then

			(4)
			(5)

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