Solution of the D - dimensional Klein - Gordon equation with equal scalar and vector ring - shaped pseudoharmonic potential

Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential

The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer potential plus ring-shaped potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound-states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the noncentral equal scalar and vector potentials. The results obtained in this work are m...

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods

B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION

We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.  

Exact solutions of the Schrödinger equation in D-dimensions for the pseudoharmonic potential plus ring-shaped potential

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form V (r, θ) = De ( r re − re r )2 + β cos 2 θ r sin θ by means of the conventional Nikiforov-Uvarov method. We also give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave func...

Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials

Fevziye Yasuk, Aysen Durmus and Ismail Boztosun Department of Physics, Erciyes University, 38039 Kayseri Turkey Abstract We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy eigenvalues and corresponding eigenfunctio...