Scaling limit of a model of quantum electrodynamics

DOI10.1063/1.530353zbMath0809.47058OpenAlexW1965281546MaRDI QIDQ4276702

Fumio Hiroshima

Publication date: 30 March 1995

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

Full work available at URL: http://hdl.handle.net/2115/68940

zbMATH Keywords

selfadjoint operatorstensor product of two Hilbert spacesabstract asymptotic theory of families of unitary operatorsscaled total Hamiltonian of a coupled system of a one electron atom and a quantized radiation field

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (10)

Observable effects and parametrized scaling limits of a model in nonrelativistic quantum electrodynamics ⋮ Effective potentials generated by field interaction in the quasi-classical limit ⋮ Scaling limits for the system of semi-relativistic particles coupled to a scalar Bose field ⋮ Functional Integral Representation of a Model in Quantum Electrodynamics ⋮ Asymptotic behaviors of the interaction Hamiltonians of quantum fields and particles ⋮ Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field ⋮ A Scaling Limit of a Hamiltonian of Many Nonrelativistic Particles Interacting with a Quantized Radiation Field ⋮ Scaling limit of quantum electrodynamics with spatial cutoffs ⋮ Ground states of a model in nonrelativistic quantum electrodynamics. I ⋮ Weak Coupling Limit with a Removal of an Ultraviolet Cutoff for a Hamiltonian of Particles Interacting with a Massive Scalar Field

Cites Work

• Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces
• An asymptotic analysis and its application to the nonrelativistic limit of the Pauli–Fierz and a spin-boson model
• A note on scattering theory in non-relativistic quantum electrodynamics
• On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I
• Noninvertible Bogoliubov transformations and instability of embedded eigenvalues
• Rigorous theory of spectra and radiation for a model in quantum electrodynamics
• The Electromagnetic Shift of Energy Levels
• Some Observable Effects of the Quantum-Mechanical Fluctuations of the Electromagnetic Field

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