Existence of a ground state for the Nelson model with a singular perturbation
DOI10.1063/1.3548076zbMath1314.81071arXiv1008.1627OpenAlexW3101235749MaRDI QIDQ5256203
Publication date: 22 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.1627
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbations in context of PDEs (35B20)
Related Items (2)
Cites Work
- Unnamed Item
- On generalized spin-boson models with singular perturbations
- Absence of ground state for the Nelson model on static space-times
- The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field.
- Stability of discrete ground state
- Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I.
- Infrared catastrophe for Nelson's model -- non-existence of ground state and soft-boson divergence
- Quantum electrodynamics of confined nonrelativistic particles
- Ground state of a quantum particle coupled to a scalar Bose field
- On the existence of ground states for massless Pauli-Fierz Hamiltonians
- Existence of atoms and molecules in non-relativistic quantum electrodynamics
- Scattering theory of infrared divergent Pauli-Fierz Hamiltonians
- On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
- Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
- Ground state of the massless Nelson model in a non-Fock representation
- Infrared Divergence of a Scalar Quantum Field Model on a Pseudo Riemannian Manifold
- A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory
- GROUND STATE OF THE MASSLESS NELSON MODEL WITHOUT INFRARED CUTOFF IN A NON-FOCK REPRESENTATION
- ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS
- Singular perturbations of selfadjoint operators
- A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I
- Ground states in non-relativistic quantum electrodynamics.
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