Bonn 2010 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Quantum Mechanics
MP 8.3: Vortrag
Mittwoch, 17. März 2010, 15:50–16:15, JUR H
Rigorous Foundation of the Brockett-Wegner Flow — •Volker Bach1 and Jean-Bernard Bru2 — 1Institut für Mathematik FB 08; Universität Mainz; 55099 Mainz — 2Department of Mathematics, University of the Basque Country UPV/EHU, Leioa, Spain
The Brockett-Wegner flow was found independently by Brockett and Wegner in the early 1990ies to diagonalize self-adjoint matrices by a time-dependent Schrödinger equation. The lecture will discuss the mathematical foundation of this flow and its application to the diagonalization of quadratic operators in quantum field theory (a warm-up application which represents an alternative to a Bogolubov transformation).