Seminarium KMMF "Teoria Dwoistości"

Weyl laws give a precise description of the high energy behaviour of eigenvalues and eigenfunctions of Schrödinger operators describing trapped quantum particles (non-interacting fermions). In this talk I will recall these laws, their applications and their history. I will also describe a recent work done in collaboration with Rupert Frank (Caltech/Munich) that explains how these laws are modified when introducing a singular external potential. To attend our online seminar, please use the Zoom identificator: https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09