27 research outputs found
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