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

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2010,（11）
• 页码范围: 9-12
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/27/11/110301

摘要

The Schrodinger equation with the Manning-Rosen potential is studied by working in a complete square inte-gable basis that carries a tridiagonal matrix representation of the wave operator. In this program, solving the Schrodinger equation is translated into finding solutions of the resulting three-term recursion relation for the ex-pansion 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.