Determined position dependent Mass of the Rosen-Morse potential and its Bound state

3rd International Conference on Science & Engineering in Mathematics, Chemistry and Physics 2015

数学;化学;物理学

Amani, Ali R.^1

Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, P.O. Box 678, Amol, Mazandaran, Iran^1

关键词: Bound state;    Eigen-value;    Jacobi equation;    Position-dependent mass;    Quantum numbers;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/622/1/012045/pdf
DOI  :  10.1088/1742-6596/622/1/012045

来源: IOP

【 摘 要 】

In this paper, Schrodinger equation has been solved analytically with position dependent mass by the Rosen-Morse potential. The position dependent mass defined as the function 1/(1 - tanh(ηx)). Then corresponding position dependent mass substituted into Schrodinger equation. After that the obtained equation compared with associated Jacobi differential equation. Therefore, the eigenvalue and eigenfunctionhave been calculated, and from there the bound state has been found in terms of quantum numbers and the coefficients of potential. Also, the wave function has been obtained in terms of the associated Jacobi equation by μ = - 3 and v = 2.