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The Nelson model with less than two photons

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Publication:1400811
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DOI10.1007/S00023-003-0129-5zbMath1028.81057OpenAlexW20934288MaRDI QIDQ1400811

Kenji Yajima, A. Galtbayar, Arne Jensen

Publication date: 14 August 2003

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-003-0129-5


zbMATH Keywords

ground stateNelson modelspectral and scattering theoryabsence of singular continuous spectrumnonrelationistic quantum electrodynamics


Mathematics Subject Classification ID

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


Related Items (6)

Polaron with at most one phonon in the weak coupling limit ⋮ Dynamics and scattering of a massless particle ⋮ Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors ⋮ The translation invariant massive Nelson model: II. The continuous spectrum below the two-Boson threshold ⋮ Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation ⋮ Non-relativistic Pauli-Fierz Hamiltonian for less than two photons







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