Department of Mathematics

Mathematical Physics and Gauge Theory

  •  Recent results on the Uniform Electron Gas
  •  04/17/2018
  •  11:00 AM - 12:00 PM
  •  C304 Wells Hall
  •  Mathieu Lewin, Université Paris Dauphine

This talk will be a review of open questions and some recent results on the (classical and quantum) Uniform Electron Gas (UEG), which is a fundamental model in quantum chemistry. The UEG is a gas of electrons placed in such a way that their density is constant everywhere in space. We will in particular compare this model with the one-component plasma (Jellium), which has a constant positive background, but no special constraint on the electronic density. Jellium is believed to play a central role for random matrices and random Schrödinger operators. In some cases Jellium is the same as the UEG, but in some other cases, these could be different. Results in collaboration with Elliott H. Lieb (Princeton) and Robert Seiringer (Vienna).

 

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
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