Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter

Charles Louis Fefferman, Jürg Fröhlich, Gian Michele Graf

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

We prove that the quantum-mechanical ground state energy of a system consisting of an arbitrary number, M, of static nuclei of atomic number ≤ Z and of an arbitrary number, N, of Pauli electrons interacting with the quantized, ultraviolet-cutoff radiation field is bounded below by -K · M, where K is a finite constant depending on Z, on the finestructure constant α and on the ultraviolet cutoff Λ, with K ≤ K′ Λ, as Λ → ∞, and K′ independent of Λ.

Original languageEnglish (US)
Pages (from-to)309-330
Number of pages22
JournalCommunications In Mathematical Physics
Volume190
Issue number2
DOIs
StatePublished - Jan 1 1997

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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