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math-phJun 27, 2000
29
citations (OpenAlex)
authors
  • O. Civitarese
  • M. Gadella
  • R. Id Betan
institutions
  • Institute of Physics Rosario
  • Universidad de Valladolid
  • Universidad Nacional de La Plata
arXiv abstractPDF
paper

On the mean value of the energy for resonant states

arXiv:math-ph/0006027 · doi:10.1016/S0375-9474(99)00405-4

Abstract

In this work we discuss possible definitions of the mean value of the energy for a resonant (Gamow) state. The mathematical and physical aspects of the formalism are reviewed. The concept of rigged Hilbert space is used as a supportive tool in dealing with Gamow-resonances.

9 pages

Cited by in corpus (13)

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  • Continuum Coupling and Single-Nucleon Overlap Integrals
  • Relating the Lorentzian and exponential: Fermi's approximation,the Fourier transform and causality
  • The Gamow Functional
  • Gamow Shell-Model Description of Weakly Bound and Unbound Nuclear States
  • Spectroscopic factors of resonance states with the Gamow shell model
  • The Friedrichs-Model with fermion-boson couplings
  • The Definition of Entropy for Quantum Unstable Systems: A View-Point Based on the Properties of Gamow States
  • Radii of proton emitters
  • Neutron-pair structure in the continuum spectrum of 26O
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