On the existence of ground states for massless Pauli-Fierz Hamiltonians
From MaRDI portal
Publication:1588824
DOI10.1007/s000230050002zbMath1004.81012OpenAlexW2077809943MaRDI QIDQ1588824
Publication date: 4 December 2000
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s000230050002
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)
Related Items
The ground state problem for a quantum Hamiltonian describing friction, Pauli-Fierz Hamiltonians defined as quadratic forms, Ground states and associated path measures in the renormalized Nelson model, Construction of the ground state in nonrelativistic QED by continuous flows, Existence and nonexistence of a ground state for the massless Nelson model under binding condition, THERMAL QUANTUM FIELDS WITHOUT CUT-OFFS IN 1+1 SPACE-TIME DIMENSIONS, QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS, LOCALIZATION OF THE NUMBER OF PHOTONS OF GROUND STATES IN NONRELATIVISTIC QED, Lowest energy states in nonrelativistic QED: atoms and ions in motion, On the spectral analysis of quantum field Hamiltonians, Ground states of quantum electrodynamics with cutoffs, Spectral analysis of a model for quantum friction, Functional central limit theorems and \(P(\phi )_1\)-processes for the relativistic and non-relativistic Nelson models, Classical and quantum energies for interacting magnetic systems, Cherenkov radiation with massive bosons and quantum friction, Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively, Ground state photon number at large distance, Functional integral representations of the Pauli-Fierz model with spin 1/2, Ground state properties in the quasiclassical regime, Approach to ground state and time-independent photon bound for massless spin-boson models, Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians, On asymptotic expansions in spin-boson models, IONIZATION BY QUANTIZED ELECTROMAGNETIC FIELDS: THE PHOTOELECTRIC EFFECT, A probabilistic representation of the ground state expectation of fractional powers of the boson number operator, Compositions of states and observables in Fock spaces, Ultraviolet renormalization of the Nelson Hamiltonian through functional integration, Spin-boson type models analyzed using symmetries, Infrared problem for the Nelson model on static space-times, Absence of ground state for the Nelson model on static space-times, Scattering theory for a class of fermionic Pauli-Fierz models., Asymptotic completeness for the massless spin-boson model, The quantum electrodynamics of relativistic bound states with cutoffs. I, Asymptotics in spin-boson type models, GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS, On existence of ground states in the spin boson model, Renormalization analysis for degenerate ground states, Mappings of open quantum systems onto chain representations and Markovian embeddings, 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, The dressed nonrelativistic electron in a magnetic field., GROUND STATE OF THE MASSLESS NELSON MODEL WITHOUT INFRARED CUTOFF IN A NON-FOCK REPRESENTATION, GROUND STATE PROPERTIES OF THE NELSON HAMILTONIAN: A GIBBS MEASURE-BASED APPROACH, ON THE SCATTERING THEORY OF MASSLESS NELSON MODELS, Ground state transition for two-level system coupled with Bose field, Spectral analysis of the Dirac polaron, Spin-boson model through a Poisson-driven stochastic process, On the spectral analysis of quantum electrodynamics with spatial cutoffs. I., 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, 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, THE POLARON REVISITED, Spectrum of the semi-relativistic Pauli-Fierz model. II, Existence of a ground state for the Nelson model with a singular perturbation, Spectral theory of massless Pauli-Fierz models, Ground state of the massless Nelson model in a non-Fock representation, The no-binding regime of the Pauli-Fierz model, Differential equations of quantum mechanics, Absence of ground states in the renormalized massless translation-invariant Nelson model, The 𝒫(𝜑)₂ Model on de Sitter Space, Fully coupled Pauli-Fierz systems at zero and positive temperature