Fermions and semiclassical analysis

  • 5 October 2022
  • 14:00-15:00
  • SCH.1.05

Spectral properties of Schrödinger operators are often studied in mathematical physics. They can describe trapped fermionic particles. The first part of the presentation will focus on the non-interacting case. I will explain why it is relevant to estimate L^p bounds of orthonormal families of eigenfuntions in the semiclassical regime and then give the main ideas of the proof. In the second part, I will discuss what can be expected in the many-body case.

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