Elliott Lieb
STABILITY OF MATTER IN MAGNETIC FIELDS
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ABSTRACT. This paper is a brief summary of recent work with M. Loss, J.P. Solovej
and H. Siedentop.
The proof of the stability of matter is three decades old, but the
question of stability when arbitrarily large magnetic fields are taken
into account was settled only recently. Even more recent is the
solution to the question of the stability of relativistic matter when
the electron motion is governed by the Dirac operator (together with
Dirac's prescription of filling the ``negative energy sea"). When
magnetic fields are included the question arises whether it is better
to fill the negative energy sea of the free Dirac operator or of the
Dirac operator with magnetic field. The answer is found to be that
the former prescription is unstable while the latter is stable.