Bound-State Solution of s-Wave Klein-Gordon Equation for Woods-Saxon Potential

Exact Solution of the Klein-Gordon Equation for the PT -Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method

The one-dimensional Klein-Gordon (KG) equation has been solved for the PT -symmetric generalized Woods-Saxon (WS) potential. The NikiforovUvarov (NU) method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have also investigated th...

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.  

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.

Systematical Approach to the Exact Solution of the Dirac Equation for the Generalized Woods-Saxon Potential

Exact solution of the Dirac equation is given for the generalized Woods-Saxon potential. The Nikiforov-Uvarov method is used in the calculations following the formalism introduced by A. D. Alhaidari [Int. J. Mod. Phys. A 18, 4955 (2003)]. The energy eigenvalues and two-component spinor wavefunctions are obtained analytically. The bound states of the relativistic energy spectrum are illustrated ...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION