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Eigenvalues of Schrödinger operators on finite and infinite intervals

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  • Evgeny L. Korotyaev

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.

Suggested Citation

  • Evgeny L. Korotyaev, 2021. "Eigenvalues of Schrödinger operators on finite and infinite intervals," Mathematische Nachrichten, Wiley Blackwell, vol. 294(11), pages 2188-2199, November.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:11:p:2188-2199
    DOI: 10.1002/mana.201900511
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