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DTSTART:20260329T030000
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DTSTAMP:20260310T222320Z
UID:6687bf08e3e2d265502488@ist.ac.at
DTSTART:20260120T161500
DTEND:20260120T171500
DESCRIPTION:Speaker: Davide Desio\nhosted by Robert Seiringer\nAbstract: Th
 e polaron problem\, introduced by Landau in 1933\, concerns the coupling o
 f an electron with phonon fields in a continuum. The energy-momentum relat
 ion for the Frhlich polaron has been recently proved to be a concave funct
 ion of the square of the total momentum with a probabilistic approach via 
 Wiener integrals. In this talk\, I will present an abstract Dyson expansio
 n for form bounded perturbations and apply it to the polaron Hamiltonian. 
 I will show that the expectation value of the heat semi-group on the vacuu
 m is a completely monotone function of the square of the total momentum an
 d\, consequently\, the concavity of the energy-momentum relation as a func
 tion of the square of the total momentum.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Davide Desio: A rigorous Dyson expansion for polaron Hamiltonians
URL:https://talks-calendar.ista.ac.at/events/6237
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