Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I.

DOI10.1007/s00209-007-0243-zzbMath1151.81016arXivmath-ph/0609086OpenAlexW1989793856MaRDI QIDQ926250

Fumio Hiroshima, Itaru Sasaki

Publication date: 27 May 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0609086

Mathematics Subject Classification ID

Model quantum field theories (81T10) Scattering theory for PDEs (35P25) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

Absence of ground state for the Nelson model on static space-times ⋮ Existence of a ground state for the Nelson model with a singular perturbation ⋮ The no-binding regime of the Pauli-Fierz model

Cites Work

• Unnamed Item
• Unnamed Item
• Ground state for point particles interacting through a massless scalar Bose field
• Infrared catastrophe for Nelson's model -- non-existence of ground state and soft-boson divergence
• Asymptotic analysis of some abstract evolution equations
• Quantum electrodynamics of confined nonrelativistic particles
• On the existence and uniqueness of ground states of a generalized spin-boson model
• Ground state of a quantum particle coupled to a scalar Bose field
• Binding conditions for atomic \(N\)-electron systems in non-relativistic QED
• Self-energy of one electron in non-relativistic QED.
• Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin
• Enhanced binding in non-relativistic QED
• Scattering theory of infrared divergent Pauli-Fierz Hamiltonians
• On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• Multiplicity of ground states in quantum field models: applications of asymptotic fields
• Ground states and spectrum of quantum electrodynamics of nonrelativistic particles
• Ground states of a model in nonrelativistic quantum electrodynamics. II
• Enhanced binding revisited for a spinless particle in nonrelativistic QED
• Dynamics of Charged Particles and their Radiation Field
• Ground state of the massless Nelson model in a non-Fock representation
• Quantitative estimates on the enhanced binding for the Pauli-Fierz operator
• Weak Coupling Limit with a Removal of an Ultraviolet Cutoff for a Hamiltonian of Particles Interacting with a Massive Scalar Field
• Functional Integral Representation of a Model in Quantum Electrodynamics
• GROUND STATE OF THE MASSLESS NELSON MODEL WITHOUT INFRARED CUTOFF IN A NON-FOCK REPRESENTATION
• GROUND STATE PROPERTIES OF THE NELSON HAMILTONIAN: A GIBBS MEASURE-BASED APPROACH
• Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field
• The increase of binding energy and enhanced binding in nonrelativistic QED
• Enhanced Binding in a General Class of Quantum Field Models
• On the ground state energy of the translation invariant Pauli-Fierz model
• REGULARITIES OF GROUND STATES OF QUANTUM FIELD MODELS
• Ground states in non-relativistic quantum electrodynamics.
• Enhanced binding through coupling to a quantum field

This page was built for publication: Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I.