In the talk I will present recent progress in proving closeness of the microscopic and effective description for systems of many fermions.
Solving the time dependent Schrödinger equation for a system of many interacting Fermions is in many cases impossible, both analytically and numerically. Instead of the microscopic description one uses an effective description which describes the behaviour of the fermions in good approximation and can be treated with a computer. In many cases one uses the fermionic Hartree or Hartree-Fock equation as effective description.
