Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field

DOI10.1016/j.aim.2008.10.006zbMath1161.81026OpenAlexW2035981820MaRDI QIDQ1002234

Jürg Fröhlich, Alessandro Pizzo, Volker Bach

Publication date: 25 February 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2008.10.006

zbMATH Keywords

QEDPauli-Fierz modelground sate energy

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Atomic physics (81V45)

Related Items

ON SPECTRAL RENORMALIZATION GROUP, On dilation analyticity and spatial exponential decay of atomic ground states in non-relativistic QED, Absence of submultiplicative norms for Wick-ordered operator products, Renormalized electron mass in nonrelativistic QED, Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians, On asymptotic expansions in spin-boson models, The ground state energy of the massless spin-boson model, Convergent expansions in non-relativistic QED: analyticity of the ground state, Smoothness and analyticity of perturbation expansions in QED, The mass shell in the semi-relativistic Pauli-Fierz model, Renormalization analysis for degenerate ground states, A new asymptotic perturbation theory with applications to models of massless quantum fields, Ground states in the spin Boson model, Ground state and resonances in the standard model of the non-relativistic QED, Mathematical analysis of quantum fields—Historical survey and a new asymptotic perturbation theory, Differential equations of quantum mechanics

Cites Work

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• Renormalization group analysis of spectral problems in quantum field theory
• One-particle (improper) states in Nelson's massless model
• Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field