A particle-field Hamiltonian in relativistic quantum electrodynamics

DOI10.1063/1.533341zbMath0973.81137OpenAlexW2157673706MaRDI QIDQ2738038

Asao Arai

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/13673

zbMATH Keywords

self-adjoint problemdipole approximationdeformation parameterfiber Hamiltonianphoton-momentum cutoffpolaron Hamiltonianquantized radiation field in the Coulomb gauge

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (15)

Eliminating unphysical photon components from Dirac-Maxwell Hamiltonian quantized in the Lorenz gauge ⋮ The dressed mobile atoms and ions ⋮ QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS ⋮ NON-RELATIVISTIC LIMIT OF A DIRAC–MAXWELL OPERATOR IN RELATIVISTIC QUANTUM ELECTRODYNAMICS ⋮ Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics ⋮ New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian ⋮ Fiber Hamiltonians in non-relativistic quantum electrodynamics ⋮ Dirac operators coupled to the quantized radiation field: Essential self-adjointness à la Chernoff ⋮ Heisenberg operators of a Dirac particle interacting with the quantum radiation field ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ Spectral analysis of the Dirac polaron ⋮ Consistency proof for multi-time Schrödinger equations with particle creation and ultraviolet cut-off ⋮ Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian ⋮ Multi-time dynamics of the Dirac-Fock-Podolsky model of QED ⋮ Ground state energy of the polaron in the relativistic quantum electrodynamics

Cites Work

• The relativistic polaron without cutoffs
• Quantum field theoretic properties of a model of Nelson: domain and eigenvector stability for perturbed linear operators
• Existence and uniqueness of physical ground states
• On the energy spectrum of the hydrogen atom in a photon field. I
• Note on the Radiation Field of the Electron
• On the interaction of two electrons

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