Dissertation / PhD Thesis

PUBDB-2016-02036

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Local scattering operators for $P(\phi)_2$ models and the time-dependent Schrodinger equation

Schlegelmilch, T. (Corresponding author)

2005

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Please use a persistent id in citations: doi:10.3204/PUBDB-2016-02036

Report No.: DESY-THESIS-2005-036; math-ph/0512091

Abstract: We establish the existence of Bogoliubov's local scattering operators for P(\phi)_2 models of constructive quantum field theory in a nonperturbative way. To this end, we use the technique of evolution semigroups to prove a new result on wellposedness of the Cauchy problem for the time-dependent Schrodinger equation under very general assumptions.

Keyword(s): thesis ; axiomatic field theory ; scattering ; operator: algebra ; Hilbert space ; Schroedinger equation ; time dependence ; differential equations ; boundary condition ; bibliography

Note: Ph.D. Thesis
Note: Dissertation, Universität Hamburg, 2005

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Contributing Institute(s):

1. Bibliothek und Dokumentation (L)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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