47 citations · 129 across the 24 of their papers we have counts for
5 papers · 2 filters
Exponential decay of the number of excitations in the weakly interacting Bose gas
David Mitrouskas, Peter Pickl
We consider trapped bosons in the mean-field limit with coupling constant . The ground state of such systems exhibits Bose--Einstein condensation. We prove that…
A Note on the Binding Energy for Bosons in the Mean-field Limit
Lea Boßmann, Nikolai Leopold, David Mitrouskas +1
We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose-Einstein condensation. The binding energy is defined as the energy it takes to remove…
Asymptotic series for low-energy excitations of the Fröhlich Polaron at strong coupling
Morris Brooks, David Mitrouskas
We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the ser…
Renormalized Bogoliubov Theory for the Nelson Model
Marco Falconi, Jonas Lampart, Nikolai Leopold +1
We consider the time evolution of the renormalized Nelson model, which describes bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles…
Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications
Lea Boßmann, Nikolai Leopold, David Mitrouskas +1
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two appli…