Asymptotic behaviors of the interaction Hamiltonians of quantum fields and particles

DOI10.1016/S0362-546X(97)00115-6zbMath0892.47067MaRDI QIDQ4378730

Fumio Hiroshima

Publication date: 13 August 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Pauli-Fierz modelscaling limitsNelson modelfield-particle interaction Hamiltonians

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field

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
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• Scaling limit of a model of quantum electrodynamics
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• DIAMAGNETIC INEQUALITIES FOR SYSTEMS OF NONRELATIVISTIC PARTICLES WITH A QUANTIZED FIELD
• The Electromagnetic Shift of Energy Levels
• Some Observable Effects of the Quantum-Mechanical Fluctuations of the Electromagnetic Field
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