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SUMMARY:Dynamical Renormalization Group - Bach\, V (Johannes Gutenberg-Uni
 versitt Mainz)
DTSTART:20120815T130000Z
DTEND:20120815T140000Z
UID:TALK39281@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In the past two decades a lot of effort has been invested into
  the spectral analysis of quantum field theoretic models of nonrelativisti
 c matter which is coupled to the quantized radiation field. One of the app
 roaches is the renormalization group based on the (smooth or sharp) Feshba
 ch-Schur map. Ground state and resonance eigenvectors have been constructe
 d by means of this method.\n\nIn a joint work with Jacob Schach Mller and 
 Matthias Westrich it is shown that the long-time asymptotics of the dynami
 cs of (some of) these systems can also be iteratively obtained by a simila
 r method called the "Dynamical Renormalization Group". In particular it is
  shown that\, for a given time scale $t  im g^{-n}$ in powers of the coupl
 ing constant $g$\, an effective Hamiltonian is derived\, which generates t
 he dynamics modula small errors. For $n=2$\, this effective Hamiltonian co
 incides with the well-known operator obtained in the van Hove (= weak coup
 ling) limit.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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