The Nelson Model with Less Than Two Photons View Full Text


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Article Info

DATE

2003-03-01

AUTHORS

A. Galtbayar, A. Jensen, K. Yajima

ABSTRACT

. We study the spectral and scattering theory of the Nelson model for an atom interacting with a photon field in the subspace with less than two photons. For the free electron-photon system, the spectral property of the reduced Hamiltonian in the center of mass coordinates and the large time dynamics are determined. If the electron is under the influence of the nucleus via spatially decaying potentials, we locate the essential spectrum, prove the absence of singular continuous spectrum and the existence of the ground state, and construct wave operators giving the asymptotic dynamics. More... »

PAGES

239-273

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00023-003-0129-5

DOI

http://dx.doi.org/10.1007/s00023-003-0129-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1010386675


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