Effective Dynamics of the Mean-field Bose Gas

Abstract: The quantum dynamics of N non-relativistic bosons is described by the Schroedinger equation with pair interaction. The complexity of solutions generally grow exponentially in the particle number, so for large N coarse-grained or effective descriptions are desirable. From a mathematical physics point of view, one aims at deriving effective equations in a rigorous way, i.e., proving that their solutions converge to the solutions of the Schroedinger equation in a suitable topology. In this talk, we will consider the dynamics in the mean-field limit, which has been studied extensively in the last two decades. I will present an overview about the research goals and results, and then specifically discuss recent results of my collaborators and myself on a perturbative expansion of solutions to the Schroedinger equation.

dynamical systems

Audience: researchers in the topic

Bremen Online Dynamics Seminar

Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.

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