Stability of Relativistic Matter With Magnetic Fields

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dc.creatorLieb, Elliott H.
dc.creatorSiedentop, Heinz
dc.creatorSolovej, Jan Philip
dc.date1997-09-16
dc.date.accessioned2026-07-07T10:21:59Z
dc.date.available2026-07-07T10:21:59Z
dc.descriptionStability of matter with Coulomb forces has been proved for non-relativistic dynamics, including arbitrarily large magnetic fields, and for relativistic dynamics without magnetic fields. In both cases stability requires that the fine structure constant alpha be not too large. It was unclear what would happen for both relativistic dynamics and magnetic fields, or even how to formulate the problem clearly. We show that the use of the Dirac operator allows both effects, provided the filled negative energy `sea' is defined properly. The use of the free Dirac operator to define the negative levels leads to catastrophe for any alpha, but the use of the Dirac operator with magnetic field leads to stability.
dc.descriptionThis is an announcement of the work in cond-mat/9610195 (LaTeX)
dc.identifierhttps://arxiv.org/abs/cond-mat/9709171
dc.identifierhttp://arxiv.org/abs/cond-mat/9709171
dc.identifierPhys.Rev.Lett.79:1785-1788,1997
dc.identifierdoi:10.1103/PhysRevLett.79.1785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175359
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleStability of Relativistic Matter With Magnetic Fields
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