142 citations
- Duke UniversityUS18 papers
- Ludwig-Maximilians-Universität MünchenDE9 papers
- Sun Yat-sen UniversityCN8 papers
- Peking UniversityCN7 papers
- Xi’an Jiaotong-Liverpool UniversityCN7 papers
- Institute of Science and Technology AustriaAT5 papers
- Wuhan UniversityCN5 papers
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- Beijing Normal UniversityCN4 papers
- Illinois Institute of TechnologyUS4 papers
- Pohang University of Science and TechnologyKR4 papers
- Triangle Universities Nuclear LaboratoryUS4 papers
11 papers · 1 filter
Recent advances in the monodromy theory of integrable Hamiltonian systems
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
The notion of monodromy was introduced by J. J. Duistermaat as the first obstruction to the existence of global action coordinates in integrable Hamiltonian systems. This invariant…
Combined Mean Field Limit and Non-relativistic Limit of Vlasov-Maxwell Particle System to Vlasov-Poisson System
Li Chen, Xin Li, Peter Pickl +1
In this paper we consider the mean field limit and non-relativistic limit of relativistic Vlasov-Maxwell particle system to Vlasov-Poisson equation. With the relativistic Vlasov-Ma…
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…
A mean field limit for the Hamiltonian Vlasov system
Robert A. Neiss, Peter Pickl
The derivation of effective equations for interacting many body systems has seen a lot of progress in the recent years. While dealing with classical systems, singular potentials ar…
Mean-field limits of particles in interaction with quantized radiation fields
Nikolai Leopold, Peter Pickl
We report on a simple strategy to treat mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. Ex…
Derivation of the Bogoliubov Time Evolution for a Large Volume Mean-field Limit
Sören Petrat, Peter Pickl, Avy Soffer
The derivation of mean-field limits for quantum systems at zero temperature has attracted many researchers in the last decades. Recent developments are the consideration of pair co…