Ground states of a model in nonrelativistic quantum electrodynamics. I

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Abstract

The system of a one charged nonrelativislic particle with external potentials minimally coupled to a massless quantized radiation field is considered. An ultraviolet cutoff is imposed on the quantized radiation field and the charged particle has spin 1/2. The class of external potentials considered in this paper contains Coulomb potentials. It is shown that the ground states of the system exist provided that a coupling constant is in a region.

Original languageEnglish
Pages (from-to)6209-6222
Number of pages14
JournalJournal of Mathematical Physics
Volume40
Issue number12
DOIs
Publication statusPublished - 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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