The resonance amplitude associated with the Gamow states

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dc.creatorde la Madrid, R.
dc.date2008-10-06
dc.date.accessioned2026-07-07T11:45:52Z
dc.date.available2026-07-07T11:45:52Z
dc.descriptionThe 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 near-resonance approximation of neglecting the lower bound of the energy, such resonance amplitude becomes the Breit-Wigner amplitude. This result establishes the precise connection between the Gamow states, Nakanishi's complex delta function and the Breit-Wigner amplitude. In addition, this result provides another theoretical basis for the phenomenological fact that the almost-Lorentzian peaks in cross sections are produced by intermediate, unstable particles.
dc.identifierhttps://arxiv.org/abs/0810.0876
dc.identifierhttp://arxiv.org/abs/0810.0876
dc.identifierNucl.Phys.A812:13-27,2008
dc.identifierdoi:10.1016/j.nuclphysa.2008.08.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202030
dc.subjectNuclear Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleThe resonance amplitude associated with the Gamow states
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