Resonant states in the presence of Coulomb interactions (original) (raw)

Resonant states represent a useful tool in the theoretical description of reactions leading to decaying states. Recently, an expansion of the Green's function in terms of eigenfunctions related to the physically relevant poles has been given (1). Furthermore, it was shown that a suitable normalization of the resonant states provided the natural generalization of the spectral representation for the Green's function in addition to extending the standard result of first-order perturbation theory to states in the continuum.