Numerical determination of energy eigenvalues for bound states of the Manning-Rosen potential using the shooting method

2026/07/30 by Calvin Didier Njiki, Calvin Didier NJIKI, Germain Hubert Ben Bolie +6
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics

paper · doi:10.1139/cjp-2026-0161

crossref issued 2026/07/30 · crossref published 2026/07/30 · crossref published-online 2026/07/30 · openalex publication_date 2026/07/30 · crossref created 2026/07/30 · crossref deposited 2026/07/30 · crossref indexed 2026/07/30 · openalex created_date 2026/07/31 · openalex updated_date 2026/08/01

Abstract

Energy eigenvalues of the non-relativistic Schrödinger equation with the exponential-type Manning–Rosen (MR) potential are calculated numerically for different screening parameters using the shooting method and the Numerov method. The energy eigenvalues calculated for nonzero angular momentum states are found to be more accurate than the values previously obtained numerically by other authors. Therefore, the energy eigenvalues derived in this study should be used as reference values for validation of semi analytical methods regarding the Manning Rosen potential and the Hulthén potential.

Related

• Eigen Solution and Thermodynamic Properties of Manning Rosen Plus Exponential Yukawa Potential
• An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method
• Any l-state approximate solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method
• Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method
• Numerical Solution of the Schrödinger Equation for a Short-Range 1/r Singular Potential with any L Angular Momentum