The resonance amplitude associated with the Gamow states
Nuclear Theory
2008-11-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
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 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.
Keywords
Cite
@article{arxiv.0810.0876,
title = {The resonance amplitude associated with the Gamow states},
author = {R. de la Madrid},
journal= {arXiv preprint arXiv:0810.0876},
year = {2008}
}