A scaling limit of a Hamiltonian of many nonrelativistic particles interacting with a quantized radiation field

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Abstract

This paper presents a scaling limit of Hamiltonians which describe interactions of N-nonrelativistic charged particles in a scalar potential and a quantized radiation field in the Coulomb gauge with the dipole approximation. The scaling limit defines effective potentials In one-nonrelativistic particle case, the effective potentials have been known to be Gaussian transformations of the scalar potential [J. Math. Phys. 34 (1993) 4478-4518]. However it is shown that the effective potentials in the case of N-nonrelativistic particles are not necessary to be Gaussian transformations of the scalar potential.

Original languageEnglish
Pages (from-to)201-225
Number of pages25
JournalReviews in Mathematical Physics
Volume9
Issue number2
DOIs
Publication statusPublished - Feb 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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