A note on the Schrodinger operator with exponential potential

DOI10.30546/2409-4994.47.1.138zbMath1473.34049OpenAlexW3185248945WikidataQ115488858 ScholiaQ115488858MaRDI QIDQ5162998

A. F. Mamedova, Agil K. Khanmamedov

Publication date: 8 November 2021

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.47.1.138

zbMATH Keywords

eigenvaluesSchrödinger operatorBessel functionszeros of Bessel functionsincreasing potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Transformation operator for the Schrödinger equation with additional exponential potential

Cites Work

• On a result of G. Pólya concerning the Riemann \(\xi\)-function
• Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis
• On zeros of the modified Bessel function of the second kind
• Spectral properties of the complex Airy operator on the half-line
• The spectral theory of a functional-difference operator in conformal field theory
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