96-379 Fefferman C., Froehlich J., Graf G.M.

STABILITY OF ULTRAVIOLET-CUTOFF QUANTUM ELECTRODYNAMICS WITH NON-RELATIVISTIC MATTER (67K, LaTeX) Aug 21, 96

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Abstract. We prove that the quantum-mechanical ground state energy of a system consisting of an arbitrary number, $M$, of static nuclei of atomic number \ $\leq Z$ and of an arbitrary number, $N$, of Pauli electrons interacting with the quantized, ultraviolet-cutoff radiation field is bounded below by \ $-K\cdot M$, where $K$ is a finite constant depending on $Z$, on the finestructure constant $\alpha$ and on the ultraviolet cutoff $\Lambda$, with \ $K\leq K' \Lambda$, as \ $\Lambda \to \infty$, and $K'$ independent of $\Lambda$.

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