Weak Coupling Limit with a Removal of an Ultraviolet Cutoff for a Hamiltonian of Particles Interacting with a Massive Scalar Field

DOI10.1142/S0219025798000211zbMath0924.47053MaRDI QIDQ4236738

Fumio Hiroshima

Publication date: 29 June 1999

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

selfadjoint operatorinteractionultraviolet cutoffmassive scalar fieldrenormalized Hamiltonians\(N\)-particles\(N\)-body Schrödinger Hamiltonians

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) (n)-body potential quantum scattering theory (81U10) Many-body theory; quantum Hall effect (81V70)

Related Items (13)

Derivation of the Landau-Pekar equations in a many-body mean-field limit ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Effective potentials generated by field interaction in the quasi-classical limit ⋮ Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I. ⋮ Scaling limits for the system of semi-relativistic particles coupled to a scalar Bose field ⋮ Asymptotic behaviors of the interaction Hamiltonians of quantum fields and particles ⋮ Mean-field dynamics for the Nelson model with fermions ⋮ Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field ⋮ The Landau-Pekar equations: adiabatic theorem and accuracy ⋮ Scaling limits with a removal of ultraviolet cutoffs for semi-relativistic particles system coupled to a scalar Bose field ⋮ Scaling limit of quantum electrodynamics with spatial cutoffs ⋮ SCALING LIMIT FOR A GENERAL CLASS OF QUANTUM FIELD MODELS AND ITS APPLICATIONS TO NUCLEAR PHYSICS AND CONDENSED MATTER PHYSICS ⋮ SCALING LIMIT FOR A GENERALIZATION OF THE NELSON MODEL AND ITS APPLICATION TO NUCLEAR PHYSICS

Cites Work

• A Scaling Limit of a Hamiltonian of Many Nonrelativistic Particles Interacting with a Quantized Radiation Field
• An asymptotic analysis and its application to the nonrelativistic limit of the Pauli–Fierz and a spin-boson model
• Scaling limit of a model of quantum electrodynamics
• DIAMAGNETIC INEQUALITIES FOR SYSTEMS OF NONRELATIVISTIC PARTICLES WITH A QUANTIZED FIELD

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