Mean-field limits of particles in interaction with quantized radiation fields

DOI10.1007/978-3-030-01602-9_9zbMath1414.81287arXiv1806.10843OpenAlexW2810821041MaRDI QIDQ2418859

Nikolai Leopold, Peter Pickl

Publication date: 29 May 2019

Full work available at URL: https://arxiv.org/abs/1806.10843

zbMATH Keywords

mean-field limitNelson modelSchrödinger-Klein-Gordon system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Many-body theory; quantum Hall effect (81V70) Coherent states (81R30)

Related Items (10)

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field ⋮ Derivation of the Landau-Pekar equations in a many-body mean-field limit ⋮ Norm approximation for the Fröhlich dynamics in the mean-field regime ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Semiclassical analysis of quantum asymptotic fields in the Yukawa theory ⋮ Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian ⋮ Derivation of the time dependent Gross-Pitaevskii equation in two dimensions ⋮ Mean-field dynamics for the Nelson model with fermions ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance

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