40 citations · 128 across the 13 of their papers we have counts for
13 papers
Ground state of Bose gases interacting through singular potentials
Lea Boßmann, Nikolai Leopold, Sören Petrat +1
We consider a system of bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form for .…
Focusing dynamics of 2D Bose gases in the instability regime
Lea Boßmann, Charlotte Dietze, Phan Thành Nam
We consider the dynamics of a 2D Bose gas with an interaction potential of the form for . The interaction may be chosen to be negative and large…
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 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…
Weak Edgeworth expansion for the mean-field interacting Bose gas
Lea Boßmann, Sören Petrat
We consider the ground state and the low-energy excited states of a system of identical bosons with interactions in the mean-field scaling regime. For the ground state, we deri…
Low-energy spectrum and dynamics of the weakly interacting Bose gas
Lea Boßmann
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates and dynamic…
Asymptotic expansion of low-energy excitations for weakly interacting bosons
Lea Boßmann, Sören Petrat, Robert Seiringer
We consider a system of bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the…
Beyond Bogoliubov Dynamics
Lea Boßmann, Sören Petrat, Peter Pickl +1
We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm…
Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons
Lea Boßmann
We study the dynamics of a system of interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to a…
Higher order corrections to the mean-field description of the dynamics of interacting bosons
Lea Boßmann, Nataša Pavlović, Peter Pickl +1
In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider th…
Derivation of the 1d NLS equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann
We consider the dynamics of interacting bosons initially exhibiting Bose-Einstein condensation. Due to an external trapping potential, the bosons are strongly confined in two s…
Derivation of the 1d Gross-Pitaevskii equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann, Stefan Teufel
We consider the dynamics of interacting bosons initially forming a Bose-Einstein condensate. Due to an external trapping potential, the bosons are strongly confined in two dime…
On the Dipole Approximation with Error Estimates
Lea Boßmann, Robert Grummt, Martin Kolb
The dipole approximation is employed to describe interactions between atoms and radiation. It essentially consists of neglecting the spatial variation of the external field over th…