Question: Utilizing the following general relation for the complex susceptibility: ?(?) = ? ( ?(?) ? ? ?? 2?? ) 1 2 ?(?) ?(? ?) ??
Utilizing the following general relation for the complex susceptibility: ?(?) = ? ( ?(?) ? ? ?? 2?? ) 1 2 ?(?) ?(? ?) ?? where the susceptibility is complex: ?(?) = ?(?) ??(?) and ?(? ?) is the Dirac's delta function, derive the Kramers-Kronig relation that relates imaginary part ?(?) to an integral over the real part ?(?) of susceptibility
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