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DTSTART:20220327T030000
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DTSTAMP:20230325T173014Z
UID:1654179300@ist.ac.at
DTSTART:20220602T161500
DTEND:20220602T171500
DESCRIPTION:Speaker: Steffen Polzer\nhosted by Robert Seiringer\nAbstract:
The FrÃ¶hlich Polaron describes the slow movement of an electron in a pola
r crystal. A long open problem is the asymptotics of the effective mass of
the electron as the coupling parameter $\\alpha$ tends to infinity. While
it has been conjectured by Landau and Pekar that the effective mass grows
with the fourth power of the coupling parameter\, so far it had only been
shown by Lieb and Seiringer that the effective mass diverges in the stron
g coupling limit. I will present recent work where we give a first quantit
ative lower bound on the effective mass of the Polaron and show that the d
ivergence is at least as fast as $\\alpha^{2/5}$ times some constant. For
the proof we apply the representation of the path measure of the Polaron i
n terms of random collections of intervals that has recently been introduc
ed by Mukherjee and Varadhan. Joint work with Volker Betz.
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Steffen Polzer: Lower bound for the effective mass of the Polaron
URL:https://talks-calendar.ista.ac.at/events/3728
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