 08178 R. de la Madrid
 The resonance amplitude associated with the Gamow states
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Oct 6, 08

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Abstract. The Gamow states describe the quasinormal modes of quantum systems. It is shown that the resonance amplitude associated with the Gamow states is given by the complex delta function. It is also shown that under the nearresonance approximation of neglecting the lower bound of the energy, such resonance amplitude becomes the BreitWigner amplitude. This result establishes the precise connection between the Gamow states, Nakanishi's complex delta function and the BreitWigner amplitude. In addition, this result provides another theoretical basis for the phenomenological fact that the almostLorentzian peaks in cross sections are produced by intermediate, unstable particles.
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