Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field
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Publication:4701780
DOI10.1063/1.532796zbMath0960.81017OpenAlexW2081569896MaRDI QIDQ4701780
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532796
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (7)
Ultraviolet renormalization of the Nelson Hamiltonian through functional integration ⋮ 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 ⋮ Effective dynamics for particles coupled to a quantized scalar field ⋮ Ground states of a model in nonrelativistic quantum electrodynamics. II ⋮ 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
Cites Work
- Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
- A Scaling Limit of a Hamiltonian of Many Nonrelativistic Particles Interacting with a Quantized Radiation Field
- Weak Coupling Limit with a Removal of an Ultraviolet Cutoff for a Hamiltonian of Particles Interacting with a Massive Scalar Field
- Scaling limit of a model of quantum electrodynamics
- Functional Integral Representation of a Model in Quantum Electrodynamics
- Asymptotic behaviors of the interaction Hamiltonians of quantum fields and particles
- DIAMAGNETIC INEQUALITIES FOR SYSTEMS OF NONRELATIVISTIC PARTICLES WITH A QUANTIZED FIELD
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