00-313 Marcel Griesemer, Elliott H. Lieb, Michael Loss

Ground States in Non-relativistic Quantum Electrodynamics (84K, LaTeX 2e) Aug 13, 00

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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.

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