Analytical Solutions of the Manning-Rosen Potential In the Tridiagonal Program

• Published in: Chinese physics letters Vol. 27; no. 11; pp. 9 - 12
• Main Author: 张民仓 安博
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.11.2010
• Subjects: 三对角; 平方可积; 波函数; 潜力分析; 矩阵表示; 膨胀系数; 薛定谔方程; 递推关系
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/27/11/110301

The Schr？dinger equation with the Manning-Rosen potential is studied by working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator. In this program, solving the Schr？dinger equation is translated into finding solutions of the resulting three-term recursion relation for the expansion coefficients of the wavefunction. The discrete spectrum of the bound states is obtained by diagonalization of the recursion relation with special choice of the parameters and the wavefunctions is expressed in terms of the Jocobi polynomial.