Relativistic Treatment of Spinless Particles Subject to the Hulthen plus Yukawa Potential with Arbitrary States

We have obtained the bound state energy eigenvalues and the corresponding wave functions of the Klein – Gordon particles for the unequal scalar and vector Hulthen plus Yukawa potential.  The generalized parametric form of Nikiforov-Uvarov (NU) method is used in the calculation.  By approximate choice of potential parameters our potential reduces to three well known potentials: Hulthen, Yukawa and Coloumb potentials and their corresponding energies are evaluated. Our results under limiting cases are consistent with those available in the literature. We have also obtained the numerical values of our results. Keywords: Klein – Gordon equation, Hulthen potential, Yukawa potential, Nikiforov-Uvarov (NU) method

Solutions of Schr\"odinger Equation with Generalized Inverted Hyperbolic Potential

We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary - state. We show that the results of this potential reduced to the standard known potentials - Rosen-Morse, Poschl - Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases.Comment: 20pages, 5figure

Thermodynamic properties of Aharonov-Bohm (AB) and magnetic fields with screened Kratzer potential

In this study, the Schrodinger equation (SE) with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method. The eigenvalue and eigenfunction for the system are obtained in closed form. It is found that the present of the magnetic field partially removes the degeneracy when the screening parameter of the potential was small but the addition of the AB field removed the degeneracy faster and better. The magnetization and magnetic susceptibility of the system are evaluated at zero and finite temperatures and other thermodynamic properties of the system are discussed. More so, the presence of the AB-flux field makes the system to exhibit a both a paramagnetic and diamagnetic behavior. A straight forward extension of these results to three dimension shows that the present result is consistent with those obtained in literature.Comment: 30 pages, 9 figures. arXiv admin note: text overlap with arXiv:1911.0199