DIAMAGNETIC INEQUALITIES FOR SYSTEMS OF NONRELATIVISTIC PARTICLES WITH A QUANTIZED FIELD

DOI10.1142/S0129055X9600007XzbMath0858.47042MaRDI QIDQ4890804

Fumio Hiroshima

Publication date: 1996

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

zbMATH Keywords

gauge transformationsunitary transformationsNelson modelBogoliubov transformationsdiamagnetic inequalitiesgeneralized Kato's inequalitiesPauli-Fierz model of quantum electrodynamicsstrong Trotter product formula

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10)

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Feynman-Kac formulas for Dirichlet-Pauli-Fierz operators with singular coefficients ⋮ Pauli-Fierz type operators with singular electromagnetic potentials on general domains ⋮ Functional Integral Representation of a Model in Quantum Electrodynamics ⋮ Ground states and spectrum of quantum electrodynamics of nonrelativistic particles ⋮ Ground states of a model in nonrelativistic quantum electrodynamics. II ⋮ Asymptotic behaviors of the interaction Hamiltonians of quantum fields and particles ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ 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 ⋮ 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

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