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Ground States in Non-relativistic Quantum Electrodynamics

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arxiv math-ph/0007014 v2 pith:TYIPQBAW submitted 2000-07-11 math-ph hep-thmath.MP

Ground States in Non-relativistic Quantum Electrodynamics

classification math-ph hep-thmath.MP
keywords groundparticlestateschargedconditionsconstantcutoffdecay
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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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