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 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.
Work partially supported by the Faculty Development Program of UAB.
Work partially supported by U.S. National Science Foundation grant PIIY 98-20650-A01.
Work partially supported by U.S. National Science Foundation grant DMS 00-70589.
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Griesemer, M., Lieb, E.H., Loss, M. (2005). Ground states in non-relativistic quantum electrodynamics. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27056-6_41
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