Note on the retarded Van der Waals potential within the dipole approximation

DOI10.3842/SIGMA.2020.036zbMath1437.81137arXiv1902.05207MaRDI QIDQ2176565

Tadahiro Miyao

Publication date: 5 May 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05207

zbMATH Keywords

Pauli-Fierz Hamiltoniannon-relativistic QEDdipole approximationretarded Van der Waals potential

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Molecular physics (81V55)

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Cites Work

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• Feynman-Kac-type theorems and Gibbs measures on path space. With applications to rigorous quantum field theory.
• On the existence and uniqueness of ground states of a generalized spin-boson model
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum
• Scale dependence of the retarded van der Waals potential
• The retarded van der Waals potential: Revisited
• Dynamics of Charged Particles and their Radiation Field
• Long‐Range Behavior of the van der Waals Force
• The Influence of Retardation on the London-van der Waals Forces
• Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
• New developments in the Casimir effect
• Ground states in non-relativistic quantum electrodynamics.