Analytical Solution of Schrodinger Equation for Modified Anisotropic Nonquadratic with Exponential Potential Using Supersymmetric Quantum Mechanics

8th International Conference on Physics and its Applications

Ma'Arif, Miftahul^1 ; Suparmi^1 ; Cari^1

Physics Departement, Faculty of Mathematics and Natural Sciences, Sebelas Maret University, Surakarta, Indonesia^1

关键词: Anisotropic Nonquadratic;    Cylindrical coordinates;    Energy spectra;    Exponential form;    Shape invariant potentials;    Supersymmetric quantum mechanics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/776/1/012079/pdf
DOI  :  10.1088/1742-6596/776/1/012079

来源: IOP

【 摘 要 】

Schrodinger equation for an anisotropic nonquadratic potential that modified by exponential form in axial part is investigated using supersymmetric approach. The three dimensional Schrodinger equation for an anisotropic nonquadratic potential in cylindrical coordinate is separated into three parts that contain one dimensional Schrödinger type equation which are solved using supersymmetric operator and the idea of shape invariant potential. The energy spectrum and the total wave functions are obtained.