On the existence and uniqueness of ground states of a generalized spin-boson model
From MaRDI portal
Publication:1378483
DOI10.1006/jfan.1997.3140zbMath0898.47048OpenAlexW2063458690MaRDI QIDQ1378483
Publication date: 2 November 1998
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2115/69116
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Constructive quantum field theory (81T08)
Related Items (67)
Generalized spin-boson models with non-normalizable form factors ⋮ Quantum regression in dephasing phenomena ⋮ Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis ⋮ Lindblad approximation and spin relaxation in quantum electrodynamics ⋮ Pauli-Fierz Hamiltonians defined as quadratic forms ⋮ The dressed mobile atoms and ions ⋮ Nondegeneracy of the ground state for nonrelativistic Lee model ⋮ Construction of the ground state in nonrelativistic QED by continuous flows ⋮ QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS ⋮ LOCALIZATION OF THE NUMBER OF PHOTONS OF GROUND STATES IN NONRELATIVISTIC QED ⋮ Enhanced Binding in a General Class of Quantum Field Models ⋮ 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 ⋮ Note on the retarded Van der Waals potential within the dipole approximation ⋮ ABSENCE OF GROUND STATES OF GENERALIZED SPIN-BOSON MODELS ⋮ Ground states of quantum electrodynamics with cutoffs ⋮ P(𝜙)1-process for the spin-boson model and a functional central limit theorem for associated additive functionals ⋮ Classical and quantum energies for interacting magnetic systems ⋮ Local decay for weak interactions with massless particles ⋮ Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences ⋮ Ground state photon number at large distance ⋮ Enhanced binding of an \(N\)-particle system interacting with a scalar field. II: Relativistic version ⋮ Weyl calculus in QED I. The unitary group ⋮ IONIZATION BY QUANTIZED ELECTROMAGNETIC FIELDS: THE PHOTOELECTRIC EFFECT ⋮ GROUND STATES OF A GENERAL CLASS OF QUANTUM FIELD HAMILTONIANS ⋮ On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff ⋮ Spin-boson type models analyzed using symmetries ⋮ Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I. ⋮ Scattering theory for a class of fermionic Pauli-Fierz models. ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions ⋮ The quantum electrodynamics of relativistic bound states with cutoffs. I ⋮ Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation ⋮ Ground states and spectrum of quantum electrodynamics of nonrelativistic particles ⋮ The role of infrared divergence for decoherence ⋮ GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS ⋮ On existence of ground states in the spin boson model ⋮ Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling ⋮ A new asymptotic perturbation theory with applications to models of massless quantum fields ⋮ Spectral theory of Pauli-Fierz operators. ⋮ Multiplicity of ground states in quantum field models: applications of asymptotic fields ⋮ Ground states in the spin Boson model ⋮ Ground states of the massless Dereziński–Gérard model ⋮ Ground state for point particles interacting through a massless scalar Bose field ⋮ REMARKS ON THE GROUND STATE ENERGY OF THE SPIN-BOSON MODEL: AN APPLICATION OF THE WIGNER–WEISSKOPF MODEL ⋮ STABILITY OF GROUND STATES IN SECTORS AND ITS APPLICATION TO THE WIGNER–WEISSKOPF MODEL ⋮ ON THE SCATTERING THEORY OF MASSLESS NELSON MODELS ⋮ Ground state transition for two-level system coupled with Bose field ⋮ Spin-boson model through a Poisson-driven stochastic process ⋮ Infrared catastrophe for Nelson's model -- non-existence of ground state and soft-boson divergence ⋮ On the spectral analysis of quantum electrodynamics with spatial cutoffs. I. ⋮ Upper bounds on the degeneracy of the ground state in quantum field models ⋮ Time-ordered exponential on the complex plane and Gell-Mann—Low formula as a mathematical theorem ⋮ Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians ⋮ Unnamed Item ⋮ Quantum electrodynamics of confined nonrelativistic particles ⋮ Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance ⋮ The first order expansion of a ground state energy of the ϕ4 model with cutoffs ⋮ An expression of the ground state energy of the spin-boson model ⋮ Spectrum of the semi-relativistic Pauli-Fierz model. II ⋮ Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians ⋮ Mathematical analysis of quantum fields—Historical survey and a new asymptotic perturbation theory ⋮ Lower spectral branches of a spin-boson model ⋮ Spectral theory of massless Pauli-Fierz models ⋮ Ground states of a model in nonrelativistic quantum electrodynamics. I ⋮ SCALING LIMIT FOR A GENERAL CLASS OF QUANTUM FIELD MODELS AND ITS APPLICATIONS TO NUCLEAR PHYSICS AND CONDENSED MATTER PHYSICS ⋮ SCALING LIMIT FOR A GENERALIZATION OF THE NELSON MODEL AND ITS APPLICATION TO NUCLEAR PHYSICS ⋮ The no-binding regime of the Pauli-Fierz model ⋮ A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces
- The equilibrium states of the spin-boson model
- Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons
- Ground state(s) of the spin-boson Hamiltonian
- Ground states of a spin-boson model
- Mathematical theory of nonrelativistic matter and radiation
- On a model for quantum friction. II: Fermi's golden rule and dynamics at positive temperature
- The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum
- Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
- An asymptotic analysis and its application to the nonrelativistic limit of the Pauli–Fierz and a spin-boson model
- On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I
- Asymptotic completeness for Rayleigh scattering
- Rigorous theory of spectra and radiation for a model in quantum electrodynamics
- RADIATIVE DECAY: NONPERTURBATIVE APPROACHES
- ASYMPTOTIC COMPLETENESS FOR THE SPIN-BOSON MODEL WITH A PARTICLE NUMBER CUTOFF
This page was built for publication: On the existence and uniqueness of ground states of a generalized spin-boson model