Algebraic Solution of Velocity-Dependent Hulthen Potential

Mohammad R. Setare, Ebrahim Karimi

Xiaolong Peng, Jian-Yi Liu, Chun‐Sheng Jia

C. O. Edet, P. O. Okoi, A. S. Yusuf +2 more

Agboola

Y B Ateş, Eser Olğar

Abstract The effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Kratzer, Mie and Hulthen potentials is obtained for any quantum states in the presence of constant form factor ε r = γ ρ 0 . The corresponding energy eigenvalues and eigenfunctions are determined and tabulated for a set of finite quantum numbers n and l in the framework of the well-known Nikiforov-Uvarov method.

Kenan Söǧüt, Ali Havare

Exact solutions for the bound and scattering states of the spatially one-dimensional Duffin–Kemmer–Petiau equation for an asymmetric Hulthen potential are obtained in terms of the hypergeometric functions. These solutions are used to derive conditions for the existence of the transmission resonances. From this investigation, we show how the transmission coefficient depends on the energy of the particle and the strength of the potential barrier.