JOURNAL ARTICLE

Bessel functions of purely imaginary order and an exactly solvable quantum-mechanical potential.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2026, v. 23, n. 5. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Nasuda, Yuta 3 of 3

Abstract

Exact solvability of one-dimensional quantum-mechanical potentials has extensively been studied and constructed, yet there remain other interaction models whose wave functions are given by special functions. In this paper, we discuss an exactly solvable Schrödinger equation where the eigenfunctions are expressed in terms of the Bessel functions of purely imaginary order. Our potential is defined by a piecewise analytic function, and possesses Bessel-function solvability. We compute the whole bound-state spectra as well as the scattering solutions. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2026/04, Vol. 23, Issue 5, p1
  • Document Type:Article
  • Subject Area:Biography
  • Publication Date:2026
  • ISSN:0219-8878
  • DOI:10.1142/S0219887825400304
  • Accession Number:192225725
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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