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. © 2005 Springer-Verlag Berlin Heidelberg New York.
CITATION STYLE
Griesemer, M., Lieb, E. H., & 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
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