Relativistic Approximate Solutions for a Two-Term Potential: Riemann-Type Equation

International Conference on Quantum Science and Applications 2016

Arda, Altug^1

Department of Physics Education, Hacettepe University, Ankara

06800, Turkey^1

关键词: Approximate analytical solutions;    Approximate solution;    Coulomb potential;    Dirac equations;    Energy eigenvalues;    Hulthen potential;    Hypergeometric;    Relativistic wave equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012002/pdf
DOI  :  10.1088/1742-6596/766/1/012002

来源: IOP

【 摘 要 】

Approximate analytical solutions of a two-term potential are studied for the relativistic wave equations, namely, for the Klein-Gordon and Dirac equations. The results are obtained by solving of a Riemann-type equation whose solution can be written in terms of hypergeometric function2Fl(a,b; c; z). The energy eigenvalue equations and the corresponding normalized wave functions are given both for two wave equations. The results for some special cases including the Manning-Rosen potential, the Hulthen potential and the Coulomb potential are also discussed by setting the parameters as required.