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
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 1397.81466
author: Volker Bach
author: M. Ballesteros
author: L. Menrath
published in: Journal of Evolution Equations
publication date: 2018-09-05T00:00:00Z
Mathematics Subject Classification ID: 81V80
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 81T15
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 6932120
zbMATH Keywords: multi-scale analysis
zbMATH Keywords: spectral renormalization
zbMATH Keywords: spin-boson model
zbMATH Keywords: spectral theory
zbMATH Keywords: Pauli-Fierz model
MaRDI profile type: Publication
full work available at URL: s00028-017-0417-z
OpenAlex ID: W2773969976
cites work: On the existence and uniqueness of ground states of a generalized spin-boson model
cites work: On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
cites work: Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis
cites work: Continuous renormalization group analysis of spectral problems in quantum field theory
cites work: Existence and construction of resonances for atoms coupled to the quantized radiation field
cites work: Smooth Feshbach map and operator-theoretic renormalization group methods.
cites work: Mathematical theory of nonrelativistic matter and radiation
cites work: Quantum electrodynamics of confined nonrelativistic particles
cites work: Renormalization group analysis of spectral problems in quantum field theory
cites work: Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
cites work: Construction of the ground state in nonrelativistic QED by continuous flows
cites work: Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field
cites work: Ground states in the spin Boson model
cites work: The Rabi model gives off a flavor of spontaneous SUSY breaking
cites work: Spin-boson model through a Poisson-driven stochastic process
cites work: The mass shell in the semi-relativistic Pauli-Fierz model
cites work: One-particle (improper) states in Nelson's massless model
DOI: 10.1007/S00028-017-0417-Z
description: scientific article; zbMATH DE number 6932120