Description of resonances within the rigged Hilbert space
Quantum Physics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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 these lectures, I will explain how this is done.
Cite
@article{arxiv.quant-ph/0607168,
title = {Description of resonances within the rigged Hilbert space},
author = {R. de la Madrid},
journal= {arXiv preprint arXiv:quant-ph/0607168},
year = {2008}
}
Comments
23 pages; written version of the five-lecture course delivered at the 2006 Summer School of CINVESTAV, Mexico City, July 2006