Physics – Mathematical Physics
Scientific paper
2004-07-26
Physics
Mathematical Physics
23pages
Scientific paper
Results from the Lax-Phillips Scattering Theory are used to analyze quantum mechanical scattering systems, in particular to obtain spectral properties of their resonances which are defined to be the poles of the scattering matrix. For this approach the interplay between the positive energy projection and the Hardy-space projections is decisive. Among other things it turns out that the spectral properties of these poles can be described by the (discrete) eigenvalue spectrum of a so-called truncated evolution, whose eigenvectors can be considered as the Gamov vectors corresponding to these poles. Further an expansion theorem of the positive Hardy-space part of vectors $Sg$ ($S$ scattering operator) into a series of Gamov vectors is presented.
No associations
LandOfFree
Gamov vectors for Resonances: a Lax-Phillips point of view does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gamov vectors for Resonances: a Lax-Phillips point of view, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gamov vectors for Resonances: a Lax-Phillips point of view will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-86999