172 citations · 701 across the 39 of their papers we have counts for
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math-ph2009★ 53 cited
Derivation of the time dependent Gross-Pitaevskii equation without positivity condition on the interaction
Peter Pickl
Using a new method it is possible to derive mean field equations from the microscopic body Schrödinger evolution of interacting particles without using BBGKY hierarchies. In th…
math-ph2009★ 7 cited
A simple derivation of mean field limits for quantum systems
Peter Pickl
We shall present a new strategy for handling mean field limits of quantum mechanical systems. The new method is simple and effective. It is simple, because it translates the idea b…
math-ph2009★ 172 cited
Mean-Field Dynamics: Singular Potentials and Rate of Convergence
Antti Knowles, Peter Pickl
We consider the time evolution of a system of identical bosons whose interaction potential is rescaled by . We choose the initial wave function to describe a condensate…