Marcel Griesemer, Elliott H. Lieb, Michael Loss
Ground States in Non-relativistic Quantum Electrodynamics
(84K, LaTeX 2e)

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 Schr\"odinger equation. We prove quite generally that this 
state exists for {\it all values} of the fine-structure constant and 
ultraviolet cutoff. We also show the same thing for a many-particle system 
under physically natural conditions.