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Weyl laws for singular potentials

Julien Sabin (École Polytechnique)
Tuesday 20 April 2021 16:15 Zoom
Mathematics Seminar

We will discuss Weyl laws with a sharp remainder term, in the 'integrated' (counting eigenvalues) and 'pointwise' (concerning the ground state density) forms. We will explain how the presence of a singular potential modifies the standard asymptotics. Since the microlocal approach of Levitan and Hörmander is not obvious to adapt in this setting, we will show how the older proof due to Avakumovic is well suited to include singular potentials. This is a joint work with Rupert Frank.

To get an invitation to the zoom-meeting, please contact one of the organisers.

Organised by: SQM
Revised: 25.05.2023