Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field
From MaRDI portal
Publication:852406
DOI10.1007/s00220-005-1478-3zbMath1118.81083OpenAlexW2020049265MaRDI QIDQ852406
Alessandro Pizzo, Volker Bach, Jürg Fröhlich
Publication date: 29 November 2006
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-005-1478-3
Related Items (42)
Kramers degeneracy theorem in nonrelativistic QED ⋮ On the theory of resonances in non-relativistic quantum electrodynamics and related models ⋮ Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state ⋮ On the absence of excited eigenstates of atoms in QED ⋮ On the ultraviolet limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss model ⋮ An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr's frequency condition ⋮ Spectral Properties for Hamiltonians of Weak Interactions ⋮ Construction of the ground state in nonrelativistic QED by continuous flows ⋮ Effective dynamics of an electron coupled to an external potential in non-relativistic QED ⋮ ON SPECTRAL RENORMALIZATION GROUP ⋮ 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 ⋮ Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons \(W^{\pm}\) ⋮ On dilation analyticity and spatial exponential decay of atomic ground states in non-relativistic QED ⋮ Local decay for weak interactions with massless particles ⋮ Absence of submultiplicative norms for Wick-ordered operator products ⋮ Infraparticle scattering states in non-relativistic QED. I: The Bloch-Nordsieck paradigm ⋮ Functional integral representations of the Pauli-Fierz model with spin 1/2 ⋮ Quantitative estimates on the binding energy for hydrogen in non-relativistic QED ⋮ 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 ⋮ Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons \(W^{\pm }\). II ⋮ Local decay in non-relativistic QED ⋮ Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED ⋮ SPECTRAL RENORMALIZATION GROUP AND LOCAL DECAY IN THE STANDARD MODEL OF NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS ⋮ EXISTENCE OF GROUND STATES OF HYDROGEN-LIKE ATOMS IN RELATIVISTIC QED I: THE SEMI-RELATIVISTIC PAULI–FIERZ OPERATOR ⋮ Rayleigh scattering at atoms with dynamical nuclei ⋮ Renormalization analysis for degenerate ground states ⋮ A new asymptotic perturbation theory with applications to models of massless quantum fields ⋮ Spectral theory for the standard model of non-relativistic QED ⋮ Ground states in the spin Boson model ⋮ The lower part of the spectrum of the Hamiltonian of the spinless Pauli–Fierz model (A two-component Bose field interacting with a charged particle) ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ On the ground state energy of the translation invariant Pauli-Fierz model ⋮ Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field ⋮ Ground state and resonances in the standard model of the non-relativistic QED ⋮ Infraparticle scattering states in nonrelativistic quantum electrodynamics. II. Mass shell properties ⋮ Mathematical analysis of quantum fields—Historical survey and a new asymptotic perturbation theory ⋮ Existence of ground states of hydrogen-like atoms in relativistic quantum electrodynamics. II. The no-pair operator ⋮ Existence and construction of resonances for atoms coupled to the quantized radiation field
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Renormalization group analysis of spectral problems in quantum field theory
- Quantum electrodynamics of confined nonrelativistic particles
- One-particle (improper) states in Nelson's massless model
- 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.
This page was built for publication: Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field
