Negative spectrum of Schrödinger operators with oscillating potentials

Abstract: For classical Schrödinger operators, the decay of the potential towards infinity determines the finiteness of its negative spectrum. In the particular case where it is asymptotically homogeneous of degree -2, the size of the coupling distinguishes between the generation of finitely or infinitely many negative eigenvalues. In this talk I will show that a similar property holds for a family of potentials which oscillate at infinity with slower decay.

mathematical physicsspectral theory

Audience: researchers in the topic

Munich-Copenhagen-Santiago Mathematical Physics seminar

Series comments: The MAS-MP seminar series has now changed name to MCS-MP.

Please contact one of the organizers to get the zoom details.