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10. Dec 2020

The Strongly Coupled Polaron in a Translational Invariant Setting: Quantum Corrections to the Pekar Asymptotics

MATHPHYS ANALYSIS SEMINAR

Datum: 10. December 2020 | 16:15 – 17:15
Sprecher: Dario Feliciangeli, IST Austria
Veranstaltungsort: Online via Zoom

In this talk I shall present recent progress on the Fröhlich Polaron model in the strong coupling regime, obtained in collaboration with Robert Seiringer. In particular, I will focus on quantum corrections to the Pekar asymptotics for its ground state energy. Compared to previous works, the main novelty is that we are able to treat the problem in a translational invariant setting, namely a (sufficiently large) torus in R^3. This substantially complicates the discussion and calls for a precise study of the set of minimizers of the classical functional(s) corresponding to the Fröhlich Hamiltonian. We carry out this study by introducing an (almost) infinite dimensional diffeomorphism and formalizing some heuristic arguments contained in the physics literature. 

Weitere Informationen:

Datum:
10. December 2020
16:15 – 17:15

Sprecher:
Dario Feliciangeli, IST Austria

Veranstaltungsort:
Online via Zoom

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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