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Mean field limits for quantum systems

Mathematical Physics & Probability

Speaker: Peter Pickl, LMU-Munich
Location: 3106 MSB
Start time: Thu, Apr 28 2011, 4:10PM

I shall present a new strategy for handling mean field limits of quantum mechanical systems. The new method is simple and effective. It is simple, because it translates the idea behind the mean field description of a many particle quantum system directly into a mathematical algorithm. It is effective because the strategy yields with lesser effort better results than previously achieved. As an instructional example I treat a simple model for the time dependent Hartree equation which I derive under more general conditions than what has been considered so far.