Department of Mathematics

Mathematical Physics and Gauge Theory

  •  On the quantum and PDE models of Polaron
  •  09/21/2017
  •  11:00 AM - 12:00 PM
  •  C304 Wells Hall
  •  Gang Zhou, SUNY Binghamton

Polaron theory is a model of an electron in a crystal lattice. It is studied in the framework of nonequilibrium statistic mechanics. There are two different mathematical models: H. Frohlich proposed a quantum model in 1937; L. Landau and S. I. Pekar proposed a system of nonlinear PDEs in 1948. In this talk I will present a proof that these two models are equivalent to certain orders, and present some other related works. These are joint works with Rupert Frank.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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