Description of resonances within the rigged Hilbert space

Details Description of resonances within the rigged Hilbert space Description of resonances within the rigged Hilbert space

2006-07-24

arxiv.org/abs/quant-ph/0607168v1

AIPConf.Proc.885:3-25,2007

Physics

Quantum Physics

23 pages; written version of the five-lecture course delivered at the 2006 Summer School of CINVESTAV, Mexico City, July 2006

Scientific paper

10.1063/1.2563170

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.

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