Abstract

Extensions of the Resonant State or (Quasi-normal mode) formalism are shown to permit unified descriptions of the true ’bound’ states within the framework of the ’leaky’ mode formulation of basis sets. We review recent progress in the famed ’normalization/regularization’ problems of the QNMs modes as well as the necessity of including ’background’ contributions whose expressions can be determined through response function sum-rules.

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