The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field: I. The lower bound

Elliott Lieb, Michael Loss

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

The proof of the existence of the thermodynamic limit for electrons and nuclei interacting via the Coulomb potential, was accomplished decades ago in the framework of non-relativistic quantum mechanics, . This result did not take account of interactions caused by magnetic fields, however, (the spin-spin interaction, in particular) or of the quantized nature of the electromagnetic field. Recent progress has made it possible to undertake such a proof in the context of non-relativistic QED. This paper contains one part of such a proof by giving a lower bound to the free energy that is proportional to the number of particles and which takes account of the fact that the field, unlike the particles, is never confined to a finite volume. In the earlier proof the lower bound was a 'two line' corollary of the 'stability of matter'. In QED the proof is much more complicated.

Original languageEnglish (US)
Pages (from-to)675-695
Number of pages21
JournalCommunications In Mathematical Physics
Volume258
Issue number3
DOIs
StatePublished - Sep 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Fingerprint Dive into the research topics of 'The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field: I. The lower bound'. Together they form a unique fingerprint.

  • Cite this