Ground States in Non-relativistic Quantum Electrodynamics

Details Ground States in Non-relativistic Quantum Electrodynamics Ground States in Non-relativistic Quantum Electrodynamics

2000-07-11

arxiv.org/abs/math-ph/0007014v2

Physics

Mathematical Physics

35 pp. Latex. Appendix B was added to clarify the infrared bounds

Scientific paper

10.1007/s002220100159

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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