Ground states in non-relativistic quantum electrodynamics

Marcel Griesemer, Elliott H. Lieb, Michael Loss

Research output: Contribution to journalArticlepeer-review

152 Scopus citations


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)
Pages (from-to)557-595
Number of pages39
JournalInventiones Mathematicae
Issue number3
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • General Mathematics


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