Analytical arbitrary ℓ-wave solutions of the manning–rosen potential in the tridiagonalization program

✍ Scribed by Min-Cang Zhang; Guo-Qing Huang-Fu

• Book ID: 104577231
• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 101 KB
• Volume: 112
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.23096

✦ Synopsis

Abstract

By working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator, the arbitrary ℓ‐wave solutions of the Schrödinger equation for the Manning–Rosen potential is investigated with an approximation of centrifugal term. The resulting three‐term recursion relation for the expansion coefficients of the wavefunction is presented. The bound‐state wavefunctions are expressed in terms of the Jocobi polynomial, and the discrete spectrum of the bound states is obtained by diagonalization of the recursion relation. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012