Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

We need to solve a suitable exponential form of the position-dependent mass (PDM) Schr\"odinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the influence of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for spatially-dependent mass distribution function of a physical interest. A few plots of some numerical results to the energy are shown.Comment: 8 pages, 8 figures, Chinese Physics B (2017

Relativistic Killingbeck Energy States Under an External Magnetic Fields

We address the behavior of the Dirac equation with the Killingbeck radial potential including the external magnetic and Aharonov-Bohm (AB) flux fields. The spin and pseudo-spin symmetries are considered. The correct bound state spectra and their corresponding wave functions are obtained. We seek such a solution using the biconfluent Heun differential equation method. Further, we give some of our results at the end of this study. Our final results can be reduced to their non-relativistic forms by simply using some appropriate transformations. The spectra, in the spin and pseudo-spin symmetries, are very similar with a slight difference in energy spacing between different states.Comment: 18 pages, 8 figure

Dirac-Hua Problem Including a Coulomb-like Tensor Interaction

In this research, we have solved the Dirac equation with the spin and pseudo-spin symmetries for Hua potential including a Coulomb-like tensor interaction. The energy eigenvalues equation and the corresponding unnormalized wave functions have obtained in terms of the Jacobi polynomials. The parametric generalization of the Nikiforov-Uvarov method had used in the calculations