Abstract

The various theoretical methods for the investigation of resonances in atomic collisions are reviewed together with a discussion of the merits and limitations of these methods as well as of their inter-relationships. The methods which have been explicitly considered are the Siegert and Kapur-Peierls methods, the Feshbach projection-operator approach, the Faddeev formulation, the pseudo-state expansion, and the Harris-Nesbet algebraic expansion. A new method which proves to converge rapidly and has a decisive computational advantage over the conventional coupled-equation method is presented.

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