Fermions and semiclassical analysis
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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