Ground States in Non-relativistic Quantum Electrodynamics
Mathematical Physics
2009-10-31 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.math-ph/0007014,
title = {Ground States in Non-relativistic Quantum Electrodynamics},
author = {Marcel Griesemer and Elliott H. Lieb and Michael Loss},
journal= {arXiv preprint arXiv:math-ph/0007014},
year = {2009}
}
Comments
35 pp. Latex. Appendix B was added to clarify the infrared bounds