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Title: Description of Resonances within the Rigged Hilbert Space

Abstract

The spectrum of a quantum system has in general bound, scattering and resonant parts. The Hilbert space includes only the bound and scattering spectra, and discards the resonances. One must therefore enlarge the Hilbert space to a rigged Hilbert space, within which the physical bound, scattering and resonance spectra are included on the same footing. In this work, I will explain how this is done.

Authors:
 [1]
  1. Department of Physics, University of California at San Diego, La Jolla, CA 92093 (United States)
Publication Date:
OSTI Identifier:
21054789
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 885; Journal Issue: 1; Conference: EAV06: Advanced summer school in physics 2006: Frontiers in contemporary physics, Mexico City (Mexico), 10-14 Jul 2006; Other Information: DOI: 10.1063/1.2563170; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENERGY SPECTRA; HILBERT SPACE; QUANTUM MECHANICS; RESONANCE; SCATTERING

Citation Formats

Madrid, Rafael de la. Description of Resonances within the Rigged Hilbert Space. United States: N. p., 2007. Web. doi:10.1063/1.2563170.
Madrid, Rafael de la. Description of Resonances within the Rigged Hilbert Space. United States. doi:10.1063/1.2563170.
Madrid, Rafael de la. Fri . "Description of Resonances within the Rigged Hilbert Space". United States. doi:10.1063/1.2563170.
@article{osti_21054789,
title = {Description of Resonances within the Rigged Hilbert Space},
author = {Madrid, Rafael de la},
abstractNote = {The spectrum of a quantum system has in general bound, scattering and resonant parts. The Hilbert space includes only the bound and scattering spectra, and discards the resonances. One must therefore enlarge the Hilbert space to a rigged Hilbert space, within which the physical bound, scattering and resonance spectra are included on the same footing. In this work, I will explain how this is done.},
doi = {10.1063/1.2563170},
journal = {AIP Conference Proceedings},
number = 1,
volume = 885,
place = {United States},
year = {Fri Feb 09 00:00:00 EST 2007},
month = {Fri Feb 09 00:00:00 EST 2007}
}