Ground states in non-relativistic quantum electrodynamics

By M. Griesemer, Elliott H. Lieb, Michael Loss. 2000

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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 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.

Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f8e95e861b9bdd640943dcf6c590036c79b06dfc