Construction of the ground state in nonrelativistic QED by continuous flows

DOI10.1016/j.jde.2006.08.008zbMath1107.81050OpenAlexW2001698273MaRDI QIDQ858700

Martin Könenberg, Volker Bach

Publication date: 11 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.08.008

zbMATH Keywords

ground staterenormalization groupQEDspectral analysis

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (5)

A new approach to continuous multi-scale analysis in nonrelativistic QED: ground states and photon number bounds for the spin-boson model with critical infrared singularity ⋮ The mass shell in the semi-relativistic Pauli-Fierz model ⋮ EXISTENCE OF GROUND STATES OF HYDROGEN-LIKE ATOMS IN RELATIVISTIC QED I: THE SEMI-RELATIVISTIC PAULI–FIERZ OPERATOR ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ Existence of ground states of hydrogen-like atoms in relativistic quantum electrodynamics. II. The no-pair operator

Cites Work

• Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants
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• Renormalization group analysis of spectral problems in quantum field theory
• Quantum electrodynamics of confined nonrelativistic particles
• On the existence and uniqueness of ground states of a generalized spin-boson model
• One-particle (improper) states in Nelson's massless model
• On the existence of ground states for massless Pauli-Fierz Hamiltonians
• Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• Ground states of a model in nonrelativistic quantum electrodynamics. II
• Functional Integral Representation of a Model in Quantum Electrodynamics
• Ground states in non-relativistic quantum electrodynamics.

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