Aarhus Universitets segl

Eigenvalues of Schrödinger operators on finite and infinite intervals

Evgeny L. Korotyaev (Saint-Petersburg State University)
Torsdag 4. oktober 2018 16:15–17:00 Aud. D2 (1531-119)
Mat/Fys-seminar

We consider a Sturm-Liouville operator with an integrable potential $q$ on the unit interval $I=[0,1]$.

We consider a Schrödinger operator with a real compactly supported potential on the half line and on the line, where this potential coincides with $q$ on the unit interval and vanishes outside $I$.

We determine the relationships between eigenvalues of such operators and obtain estimates of eigenvalues in terms of potentials.

Kontakt: Erik Skibsted Revideret: 28.09.2018