Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians
DOI10.4171/dm/929arXiv2207.06053OpenAlexW4285483501MaRDI QIDQ6188857
Jimmy Payet, Jérémy Faupin, Sébastien Breteaux
Publication date: 12 January 2024
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.06053
calculus of variationsground statesultraviolet limitNelson modelnon-relativistic quantum electrodynamicsquasi-classical limitHartree energy functional
Estimates of eigenvalues in context of PDEs (35P15) Electromagnetic interaction; quantum electrodynamics (81V10) Asymptotic expansions of solutions to PDEs (35C20) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Waves and radiation in optics and electromagnetic theory (78A40) Well-distributed sequences and other variations (11K36) Bergman spaces and Fock spaces (30H20) Canonical quantization (81S08)
Cites Work
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- Wigner measures approach to the classical limit of the Nelson model: convergence of dynamics and ground state energy
- A guide to the Choquard equation
- Analytic perturbation theory and renormalization analysis of matter coupled to quantized radiation
- Quantitative estimates on the binding energy for hydrogen in non-relativistic QED
- The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field.
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Partially classical limit of the Nelson model
- Polaron models with regular interactions at strong coupling
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field
- Mean field limit for bosons and infinite dimensional phase-space analysis
- Ground state and resonances in the standard model of the non-relativistic QED
- Quantum electrodynamics of confined nonrelativistic particles
- Exact ground state energy of the strong-coupling polaron
- One non-relativistic particle coupled to a photon field
- On the existence of ground states for massless Pauli-Fierz Hamiltonians
- Effective potentials generated by field interaction in the quasi-classical limit
- Sharpness of the Brascamp-Lieb inequality in Lorentz spaces
- Scattering theory of infrared divergent Pauli-Fierz Hamiltonians
- Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
- Equivalence of two definitions of the effective mass of a polaron
- On the ultraviolet limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss model
- Effective mass of the polaron -- revisited
- Divergence of the effective mass of a polaron in the strong coupling limit
- On the mass concentration for Bose-Einstein condensates with attractive interactions
- Derivation of Hartree's theory for generic mean-field Bose systems
- Convolution operators and L(p, q) spaces
- Some remarks on convolution operators and \(L(p,q)\) spaces
- Quasi-classical dynamics
- Semiclassical analysis of quantum asymptotic fields in the Yukawa theory
- Effective mass of the Polaron: a lower bound
- Self-adjointness and domain of the Fröhlich Hamiltonian
- Ground state properties in non-relativistic QED
- ON THE MAGNETIC PEKAR FUNCTIONAL AND THE EXISTENCE OF BIPOLARONS
- Dynamics of Charged Particles and their Radiation Field
- Asymptotics for the polaron
- Classical Fourier Analysis
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS
- Bohr's Correspondence Principle for the Renormalized Nelson Model
- Symmetry breaking regime in the nonlinear Hartree equation
- Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron
- The polaron at strong coupling
- Constraint minimizers of mass critical Hartree energy functionals: Existence and mass concentration
- Classical limit of the Nelson model with cutoff
- Theory of electrical breakdown in ionic crystals. II
- Ground states in non-relativistic quantum electrodynamics.
- Ground state properties in the quasiclassical regime
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