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Eigenvalues of Schrödinger operators on finite and infinite intervals

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

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.

Kontaktperson: Erik Skibsted