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Derivation of the time dependent Gross–Pitaevskii equation with external fields

Reviews in mathematical physics, 2015-02, Vol.27 (1), p.1550003

Pickl, Peter

2015

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A Simple Derivation of Mean Field Limits for Quantum Systems

Letters in mathematical physics, 2011-08, Vol.97 (2), p.151-164

Pickl, Peter

2011

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A Mean Field Limit for the Vlasov–Poisson System

Archive for rational mechanics and analysis, 2017-09, Vol.225 (3), p.1201-1231

2017

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Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers

eLife, 2017-07, Vol.6

2017

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Interpretations of Quantum Mechanics

EPJ Web of conferences, 2014-01, Vol.71, p.110-1-00110-12

2014

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Mean-Field Dynamics: Singular Potentials and Rate of Convergence

Communications in mathematical physics, 2010-08, Vol.298 (1), p.101-138

2010

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Exponential decay of the number of excitations in the weakly interacting Bose gas

Journal of mathematical physics, 2023-12, Vol.64 (12)

2023

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On Mean Field Limits for Dynamical Systems

Journal of statistical physics, 2016-07, Vol.164 (1), p.1-16

2016

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Microscopic derivation of Vlasov–Dirac–Benney equation with short-range pair potentials

Nonlinearity, 2024-05, Vol.37 (5), p.55007

2024

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Derivation of the Time Dependent Gross-Pitaevskii Equation Without Positivity Condition on the Interaction

Journal of statistical physics, 2010-07, Vol.140 (1), p.76-89

Pickl, Peter

2010

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Generalized eigenfunctions for Dirac operators near criticality

Journal of mathematical physics, 2007-12, Vol.48 (12), p.123505-123505-31

Pickl, Peter

2007

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Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian

SIAM journal on mathematical analysis, 2020-01, Vol.52 (5), p.4900-4936

2020

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Derivation of the Time Dependent Two Dimensional Focusing NLS Equation

Journal of statistical physics, 2018-09, Vol.172 (5), p.1398-1426

2018

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Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions

Communications in mathematical physics, 2019, Vol.372 (1), p.1-69

2019

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On the Mean-Field Limit for the Vlasov–Poisson–Fokker–Planck System

Journal of statistical physics, 2020-12, Vol.181 (5), p.1915-1965

2020

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Bogoliubov corrections and trace norm convergence for the Hartree dynamics

Reviews in mathematical physics, 2019-09, Vol.31 (8), p.1950024

2019

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A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics

Mathematical physics, analysis, and geometry, 2016-03, Vol.19 (1), Article 3

2016

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Symplectic Reduction of Classical Mechanics on Shape Space

Foundations of physics, 2022-10, Vol.52 (5), Article 106

2022

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Dynamics of a Tracer Particle Interacting with Excitations of a Bose–Einstein Condensate

Annales Henri Poincaré, 2022-08, Vol.23 (8), p.2855-2876

2022

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Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons

Journal of statistical physics, 2020-03, Vol.178 (6), p.1362-1396

2020

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Beyond Bogoliubov dynamics

Pure and applied analysis, 2021-12, Vol.3 (4), p.677-726

2021

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Combined mean field limit and non-relativistic limit of Vlasov–Maxwell particle system to Vlasov–Poisson system

Journal of mathematical physics, 2020-06, Vol.61 (6)

2020

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Free Time Evolution of a Tracer Particle Coupled to a Fermi Gas in the High-Density Limit

Communications in mathematical physics, 2017-11, Vol.356 (1), p.143-187

2017

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Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction

Journal de mathématiques pures et appliquées, 2016-01, Vol.105 (1), p.1-30

2016

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Mean-Field Limits of Particles in Interaction with Quantized Radiation Fields

Macroscopic Limits of Quantum Systems, 2018, Vol.270, p.185-214

2018

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Derivation of the time dependent Gross–Pitaevskii equation with external fields

A Simple Derivation of Mean Field Limits for Quantum Systems

A Mean Field Limit for the Vlasov–Poisson System

Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers

Interpretations of Quantum Mechanics

Mean-Field Dynamics: Singular Potentials and Rate of Convergence

Exponential decay of the number of excitations in the weakly interacting Bose gas

On Mean Field Limits for Dynamical Systems

Microscopic derivation of Vlasov–Dirac–Benney equation with short-range pair potentials

Derivation of the Time Dependent Gross-Pitaevskii Equation Without Positivity Condition on the Interaction

Generalized eigenfunctions for Dirac operators near criticality

Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian

Derivation of the Time Dependent Two Dimensional Focusing NLS Equation

Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions

On the Mean-Field Limit for the Vlasov–Poisson–Fokker–Planck System

Bogoliubov corrections and trace norm convergence for the Hartree dynamics

A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics

Symplectic Reduction of Classical Mechanics on Shape Space

Dynamics of a Tracer Particle Interacting with Excitations of a Bose–Einstein Condensate

Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons

Beyond Bogoliubov dynamics

Combined mean field limit and non-relativistic limit of Vlasov–Maxwell particle system to Vlasov–Poisson system

Free Time Evolution of a Tracer Particle Coupled to a Fermi Gas in the High-Density Limit

Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction

Mean-Field Limits of Particles in Interaction with Quantized Radiation Fields

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