### Mathematics Colloquium

# Soeren Petrat

### (Jacobs University Bremen)

## "Effective Quantum Dynamics"

** Date: ** |
Mon, November 6, 2017 |

** Time: ** |
17:15 |

** Place: ** |
Lecture Hall, Research I |

**Abstract:** In this talk I will give an overview of my research in mathematical physics. On the physics side, it is concerned with many-body quantum mechanics, non-equlibrium statistical mechanics and effective quantum dynamics. On the mathematics side, I use methods mainly from (functional) analysis, partial differential equations, and sometimes a bit of harmonic and semiclassical analysis. Most of my research questions start from the microscopic theory of non-relativistic matter, the many-body interacting Schroedinger equation (which is linear). The goal is then to derive effective evolution equations in a rigorous way (which are usually non-linear). Those can arise in different scaling limits, and can be handled analytically and numerically for describing and predicting physical phenomena. Examples are the Hartree-Fock equations for fermions, and the Hartree and Bogoliubov equations for bosons. I am going to talk about these examples in some more detail, and present the corresponding results of myself and coworkers.

*The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.*