34 citations · 78 across the 6 of their papers we have counts for
4 papers · 1 filter
Derivation of the time dependent Gross-Pitaevskii equation for a class of non purely positive potentials
Maximilian Jeblick, Peter Pickl
We present a microscopic derivation of the time-dependent Gross-Pitaevskii equation starting from an interacting N-particle system of Bosons. We prove convergence of the reduced de…
Derivation of the Time Dependent Two Dimensional Focusing NLS Equation
M. Jeblick, P. Pickl
In this paper, we present a microscopic derivation of the two-dimensional focusing cubic nonlinear Schrödinger equation starting from an interacting -particle system of Bosons.…
Free time evolution of a tracer particle coupled to a Fermi gas in the high-density limit
Maximilian Jeblick, David Mitrouskas, Sören Petrat +1
The dynamics of a particle coupled to a dense and homogeneous ideal Fermi gas in two spatial dimensions is studied. We analyze the model for coupling parameter g=1 (i.e., not in th…
Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions
Maximilian Jeblick, Nikolai Leopold, Peter Pickl
We present a microscopic derivation of the defocusing two-dimensional cubic nonlinear Schrödinger equation as a mean field equation starting from an interacting -particle system…