- 02-493 A. Galtbayar, A. Jensen, K. Yajima
- The Nelson Model with Less Than Two Photons
(392K, pdf)
Nov 27, 02
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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.
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