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Niels Benedikter

On the Geometric Approach to Effective Evolution Equations

Abstract: Many-body Quantum Mechanics is a very successful theory; however, it is also so complex that approximations are the only way of obtaining predictions. In particular, the time evolution of non-stationary states in certain physical regimes can be approximated by non-linear effective evolution equations. In this talk I will present a reformulation of the Dirac-Frenkel principle for the derivation of effective equations and develop a new geometric point of view on the problem.

(Based on joint work with Jeremy Sok and Jan Philip Solovej.)