Analyticity of resonances and eigenvalues and spectral properties of the massless spin-boson model

DOI10.1016/j.jfa.2019.02.008zbMath1410.81020arXiv1801.04021OpenAlexW2783724671WikidataQ128358629 ScholiaQ128358629MaRDI QIDQ1729710

Dirk-André Deckert, Miguel Ballesteros, Felix Hänle

Publication date: 28 February 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04021

zbMATH Keywords

multiscale analysiscomplex dilationmassless spin-boson modelspectral properties and analyticity

Mathematics Subject Classification ID

Model quantum field theories (81T10) Estimates of eigenvalues in context of PDEs (35P15) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Resonance in context of PDEs (35B34)

Related Items (6)

Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane ⋮ On dilation analyticity and spatial exponential decay of atomic ground states in non-relativistic QED ⋮ Existence of resonances for the spin-boson model with critical coupling function ⋮ Relation between the resonance and the scattering matrix in the massless spin-boson model ⋮ One-boson scattering processes in the massless spin-boson model. A non-perturbative formula ⋮ Differential equations of quantum mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Ground states in the spin Boson model
• Analytic perturbation theory and renormalization analysis of matter coupled to quantized radiation
• Convergent expansions in non-relativistic QED: analyticity of the ground state
• Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED
• Analyticity of the ground state energy for massless Nelson models
• On the smooth Feshbach-Schur map
• Resonances of the confined hydrogen atom and the Lamb-Dicke effect in non-relativistic QED
• Ground state and resonances in the standard model of the non-relativistic QED
• Renormalization group analysis of spectral problems in quantum field theory
• Quantum electrodynamics of confined nonrelativistic particles
• Smooth Feshbach map and operator-theoretic renormalization group methods.
• One-particle (improper) states in Nelson's massless model
• Mathematical theory of nonrelativistic matter and radiation
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• Continuous renormalization group analysis of spectral problems in quantum field theory
• Quantum electrodynamics of atomic resonances
• Existence and construction of resonances for atoms coupled to the quantized radiation field
• Scattering of an infraparticle: The one particle sector in Nelson's massless model
• Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis
• ON SPECTRAL RENORMALIZATION GROUP

This page was built for publication: Analyticity of resonances and eigenvalues and spectral properties of the massless spin-boson model