Eigenvalues of Schrödinger operators on finite and infinite intervals

Evgeny L. Korotyaev

Mathematische Nachrichten, 2021, vol. 294, issue 11, 2188-2199

Abstract: 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.

Date: 2021
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