Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of Kᵢᵥ() with Respect to Order

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Krynytskyi, Yuri, Rovenchak, Andrij
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211366
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of Kᵢᵥ() with Respect to Order. Yuri Krynytskyi and Andrij Rovenchak. SIGMA 17 (2021), 057, 7 pages

The paper presents the derivation of the asymptotic behavior of -zeros of the modified Bessel function of imaginary order Kᵢᵥ(). This derivation is based on the quasiclassical treatment of the exponential potential on the positive half-axis. The asymptotic expression for the -zeros (zeros with respe...