172 citations · 701 across the 39 of their papers we have counts for
42 papers
Numerical Bogoliubov approximation of bosonic many-body quantum dynamics
Yoann Le Hénaff, Christian Lubich, Peter Pickl
We propose an algorithm for the numerical solution of the time-dependent Schrödinger equation for N >> 1bosons interacting via a two-body interaction potential in the mean-field sc…
Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems
Duc Viet Hoang, David Mitrouskas, Peter Pickl
The time-dependent Hartree and Hartree-Fock equations provide effective mean-field descriptions for the dynamics of large fermionic systems and play a fundamental role in many area…
Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas
Duc Viet Hoang, Peter Pickl
We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum…
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…
Microscopic derivation of Vlasov equation with compactly supported pair potentials
Manuela Feistl, Peter Pickl
We present a probabilistic proof of the mean-field limit and propagation of chaos of a N-particle system in three dimensions with compactly supported pair potentials of the form $N…
Symplectic Reduction of Classical Mechanics on Shape Space
Sahand Tokasi, Peter Pickl
One of the foremost goals of research in physics is to find the most basic and universal theories that describe our universe. Many theories assume the presence of an absolute space…