Ground states and spectrum of quantum electrodynamics of nonrelativistic particles

DOI10.1090/S0002-9947-01-02719-2zbMath0978.81022MaRDI QIDQ2731954

Fumio Hiroshima

Publication date: 30 July 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

absolutely continuous spectrumexternal potentialBoson Fock spacePauli-Fierz Hamiltonianquantized radiation fieldultraviolet cut-offasymptotic annihilation and creation operatorsnon-relativistic particles

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

Related Items (12)

Spectral Properties for Hamiltonians of Weak Interactions ⋮ The dressed mobile atoms and ions ⋮ Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons \(W^{\pm}\) ⋮ Ground state properties in the quasiclassical regime ⋮ Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I. ⋮ SPECTRAL RENORMALIZATION GROUP AND LOCAL DECAY IN THE STANDARD MODEL OF NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS ⋮ GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS ⋮ Multiplicity of ground states in quantum field models: applications of asymptotic fields ⋮ Ground states of the massless Dereziński–Gérard model ⋮ The dressed nonrelativistic electron in a magnetic field. ⋮ On the spectral analysis of quantum electrodynamics with spatial cutoffs. I. ⋮ Ground state and resonances in the standard model of the non-relativistic QED

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