Approximate Solution of Schrodinger Equation in D-Dimensions for Scarf Hyperbolic plus Non-Central Poschl- Teller Potential Using Nikiforov-Uvarov Method

Conference of Theoretical Physics and Nonlinear Phenomena 2014: "From Universe to String's Scale"

Deta, U.A.^1 ; Suparmi, A.^2 ; Cari, C.^2

Department of Physics, Faculty of Mathematics and Natural Science, Surabaya State University, Indonesia, Jl. Ketintang, Surabaya

60231, Indonesia^1

Physics Department of Graduate Program, Sebelas Maret University, Indonesia, Jl. Ir. Sutami 36A, Kentingan, Surakarta

57126, Indonesia^2

关键词: Approximate analytical solutions;    Approximate solution;    Arbitrary dimension;    Bound-state energies;    D dimensions;    Generalized jacobi polynomials;    Hyperbolic potential;    Nikiforov-Uvarov method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/539/1/012018/pdf
DOI  :  10.1088/1742-6596/539/1/012018

来源: IOP

【 摘 要 】

The approximate analytical solution of Schrodinger equation in D-Dimensions for Scarf hyperbolic plus non-central Pocshl-Teller potential were investigated using Nikiforov- Uvarov method. The approximate bound state energy are given in the close form and the corresponding approximate wave function for arbitary l-state in D-dimensions are formulated in the form of generalized Jacobi Polynomials. Special case is given for the ground state in 3 dimensions. The existence of arbitrary dimensions increase bound state energy system. In the other hand, the existence of arbitrary dimensions decreases the amplitude of wave function. The effect of Scarf Hyperbolic potential increases the bound state energy of system. The effect of non central Poschl-Teller potential decreases the bound state energy of system.