Time Continuity and the Positivity Problem of the Floquet Hamiltonian
The Floquet scheme, if applied directly in the rotating frame, may shed false information about the radiative processes of rotating quantum systems. The requirement of some time continuity conditions ...

AIP Conf. Proc. / Volume 885 / Issue 1

Description of Resonances within the Rigged Hilbert Space

AIP Conf. Proc. -- February 9, 2007 -- Volume 885, pp. 3-25
ADVANCED SUMMER SCHOOL IN PHYSICS 2006: Frontiers in Contemporary Physics: EAV06; doi:10.1063/1.2563170

Issue Date: 9 February 2007

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ABSTRACT

Rafael de la Madrid
Department of Physics, University of California at San Diego, La Jolla, CA 92093

Thespectrum of a quantum system has in general bound, scatteringand resonant parts. The Hilbert space includes only the boundand scattering spectra, and discards the resonances. One must thereforeenlarge the Hilbert space to a rigged Hilbert space, withinwhich the physical bound, scattering and resonance spectra are includedon the same footing. In this work, I will explainhow this is done. ©2007 American Institute of Physics

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