München 2009 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 13: Quantenfeldtheorie 2

MP 13.1: Vortrag

Donnerstag, 12. März 2009, 17:30–17:50, M010

Spectral theory of translation automorphisms in QFT — •Wojciech Dybalski — University of Göttingen, Germany

The decomposition of the spectral measure of a Hamiltonian into its pure point, absolutely continuous and singular continuous parts is crucial for the formulation and resolution of the problem of asymptotic completeness in quantum mechanics. Therefore, a deeper understanding of particle aspects in quantum field theory requires the development of a similar, detailed spectral theory of translation automorphisms. Such a theory is presented in this talk and illustrated by several examples. Its applications to the problem of particle interpretation in QFT are discussed.