Ground states in non-relativistic quantum electrodynamics

Marcel Griesemer, Elliott Lieb, Michael Loss

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state - one that minimizes the energy and satisfies the Schrödinger equation. We prove quite generally that this state exists for all values of the fine-structure constant and the ultraviolet cutoff. We also show the same thing for a many-particle system under physically natural conditions.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages625-663
Number of pages39
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Griesemer, M., Lieb, E., & Loss, M. (2005). Ground states in non-relativistic quantum electrodynamics. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 625-663). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_41