RELATIVISTIC BOUND STATES IN THE PRESENCE OF SPHERICALLY RING-SHAPED q-DEFORMED WOODS–SAXON POTENTIAL WITH ARBITRARY l-STATES

Abstract

Approximate bound state solutions of the Dirac equation with q -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary lstate. The energy eigenvalue equation and corresponding two-component wave function are calculated by solving the radial and angular wave equations within a shortcut of the Nikiforov-Uvarov method. The solutions of the radial and polar angular parts of the wave function are expressed in terms of the Jacobi polynomials.A new approximation being expressed in terms of the potential parameters is carried out to deal with the strong singular centrifugal potential term 2 ( 1) . l l r   Under some limitations, we can obtain solution for the ring-shaped Hulthén potential and the standard usual spherical Woods-Saxon potential ( 1 q  ).

Path integral treatment of the deformed Schiöberg-type potential for some diatomic molecules

“…We can cite the Nikiforov-Uvarov method [6], the function analysis [7], the asymptotic iteration [8], and the Feynman path integrals [24,25,26]. In recent papers, some q-deformed empirical potentials have been addressed, such as Woods-Saxon [20], the four-parametric deformed Schiöberg type [21,22] and the q-deformed hyperbolic Poschl-Teller potential [23].…”

Dirac Equation for Posch-Teller Potential in Radial Section Symmetry Spin Case using Asymptotic Iteration Method

“…Direct solution of the Dirac equation of a system of particles by determining the energy (Meyur, 2011) (Pramono, Suparmi, & Cari, 2016) and wave function (Suparmi, 2013)(Guzmán Adán, Orelma, & Sommen, 2019) of a particle affected by a potential(Y. Alam et al, 2016) whose potential energy is a function of position(S. M. Ikhdair, Hamzavi, & Rajabi, 2013). The solution to the Dirac (Chen, 2019) equation can be solved by reducing the Dirac equation to a Second Order Differential equation.…”

Analytical solution of the Feynman Kernel for general exponential-type potentials

“…where A, B, C, q are real parameters and a denotes the radius of the potential. With specific choices of the parameters, the multi-parameter potential reduces to potentials of the exponential form of Manning-Rosen [19], Hulthén [20], Eckart [21], Rosen-Morse [22], Woods-Saxon, Schiöberg [23], and all q-deformed of the namely forms [24][25][26][27][28].…”