Lieb, Elliott H., Loss, Michael , Solovej, Jan Philip
Stability of Matter in Magnetic Fields
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ABSTRACT. In the presence of arbitrarily large magnetic fields, matter
composed of electrons and nuclei was known to be unstable if $\alpha$
or $Z$ is too large. Here we prove that matter
{\it is stable\/} if $\alpha<0.06$ and $Z\alpha^2<0.04$.