Question: Utilizing the following general relation for the complex susceptibility: () = ( () 2 ) + 1 2 () ( ) where the susceptibility is

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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