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DESCRIPTION:Lawrence Thomas\, University of Virginia\n\nThe polaron is a ma
thematical model for a “dressed”\nparticle consisting of an electron t
ogether with its entourage of\nlocal excitations of a quantized phonon fie
ld. We will give a brief\nhistorical review of the polaron\, including the
analysis of its ground\nstate by a Brownian motion functional integral an
d by a related\nvariational expression.
For the case of two or more
electrons\,\nthe interaction of the electrons with the phonon field gives
rise to\nan effective attraction between electrons that causes the particl
es to\nbind together. For N electrons\, N →\; ∞\;\
, the\nsystems are unstable in the sense that the binding energy grows fas
ter\nthan linearly in N. We will discuss recent work with Frank\,\n
Lieb\, and Seiringer which shows that sufficiently strong Coulomb\nrepulsi
on between electrons can compensate for this binding and\nprovide stabilit
y for polaron systems for large N.
DTSTART:20120127T210000Z
LOCATION:Physics Building\, Room 204
SUMMARY:N-polaron systems and mathematics
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