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

作　　者：张民仓 安博 

机构地区：[1]College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062 [2]Department of Physics and Electronic Engineering, Weinan Teachers University, Weinan 714000

出　　处：《Chinese Physics Letters》2010年第11期9-12,共4页中国物理快报（英文版）

摘　　要：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.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.

关 键 词：Mathematical physics Quantum information and quantum mechanics 

分 类 号：O413.1[理学—理论物理] TP301.6[理学—物理]