Top-level heading

Bogoliubov corrections and trace norm convergence for the Hartree dynamics

Categoria
Seminari di Fisica Matematica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

Peter Pickl (LMU München, Germany)

Abstract: We consider the dynamics of a large number N of interacting, nonrelativistic bosons in the mean field limit. In order to describe the fluctuations around the mean field Hartree state, we introduce an auxiliary Hamiltonian on the N-particle space that is very similar to the one obtained from Bogoliubov theory. We show convergence of the auxiliary time evolution to the fully interacting dynamics in the norm of the N-particle space. The results will then be generalized to gases of large volume, i.e. the case where volume and density tend to infinity simultaneously. This is joint work with D. Mitrouskas, S. Petrat and a. Soffer.