caa a22 4500 46319702X CHVBK 20180406164925.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s10773-006-9319-5 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9319-5 Baumgärtel H. Mathematical Institute, University of Potsdam, Am Neuen Palais 10, PF 601553, D-14451, Potsdam, Germany aut Gamow Vectors for Resonances: A Lax-Phillips Point of View [Elektronische Daten] [H. Baumgärtel] 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 Gamow 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 Gamow vectors is presented. Springer Science+Business Media, LLC, 2007 resonances nationallicence Gamow vectors nationallicence Lax-Phillips scattering theory nationallicence Hardy spaces nationallicence International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/8(2007-08-01), 1959-1985 0020-7748 46:8<1959 2007 46 10773 https://doi.org/10.1007/s10773-006-9319-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9319-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Baumgärtel H. Mathematical Institute, University of Potsdam, Am Neuen Palais 10, PF 601553, D-14451, Potsdam, Germany aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/8(2007-08-01), 1959-1985 0020-7748 46:8<1959 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer