Classical limit of the Nelson model with cutoff

DOI10.1063/1.4775716zbMath1280.81159arXiv1205.4367OpenAlexW2068687688MaRDI QIDQ5396260

Marco Falconi

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4367

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Many-body theory; quantum Hall effect (81V70) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (n)-body problems (70F10)

Related Items (19)

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field ⋮ Construction of solutions of the classical field equation of a massless Klein-Gordon field interacting with a static source ⋮ Cylindrical Wigner measures ⋮ Derivation of the Landau-Pekar equations in a many-body mean-field limit ⋮ Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron ⋮ Norm approximation for the Fröhlich dynamics in the mean-field regime ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Bohr's Correspondence Principle for the Renormalized Nelson Model ⋮ Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians ⋮ Quasi-classical dynamics ⋮ Semiclassical analysis of quantum asymptotic fields in the Yukawa theory ⋮ Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian ⋮ On some rigorous aspects of fragmented condensation ⋮ Wigner measures approach to the classical limit of the Nelson model: convergence of dynamics and ground state energy ⋮ Mean-field dynamics for the Nelson model with fermions ⋮ Emergence of Time-Dependent Point Interactions in Polaron Models ⋮ Unnamed Item ⋮ The Landau-Pekar equations: adiabatic theorem and accuracy ⋮ Self-adjointness criterion for operators in Fock spaces

Cites Work

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• The classical field limit of scattering theory for non-relativistic many- boson systems. I
• Asymptotic completeness for a renormalized nonrelativistic Hamiltonian in quantum field theory: The Nelson model
• Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
• Particle-like solutions in field theory
• ON THE SCATTERING THEORY OF MASSLESS NELSON MODELS
• Rate of convergence in nonlinear Hartree dynamics with factorized initial data

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