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Ground states in non-relativistic quantum electrodynamics |
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| Authors: | Marcel Griesemer Elliott H. Lieb Michael Loss |
| Affiliation: | (1) Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, USA (e-mail: marcel@math.uab.edu), US;(2) Departments of Physics and Mathematics, Jadwin Hall, Princeton University, P. O. Box 708, Princeton, NJ 08544, USA (e-mail: lieb@princeton.edu), US;(3) School of Mathematics, Georgia Tech, Atlanta, GA 30332, USA (e-mail: loss@math.gatech.edu), US |
| 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?dinger 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. Oblatum 21-IX-2000 & 8-IV-2001?Published online: 18 June 2001 |
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