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This is probably a very simple question but I don't really get it.

InLippmann Schwinger Equationwe add an infinitesimal term to the denominator in order to avoid singularity for when E is an eigenvalue of [itex]\hat{H}_0[/itex]. This is fine, but why it has to be a complex number? Adding a real constant will also save denominator from becoming singular. That confuses me.

Thanks in advance!

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# Addition of Complex Term in Lippmann Schwinger Equation

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