Perturbed Coulomb potentials in the Klein-Gordon equation via the shifted-lexpansion technique

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Logarithmic perturbation theory for radial Klein-Gordon equation with screened Coulomb potentials via h̄ expansions

The explicit semiclassical treatment of logarithmic perturbation theory for the bound-state problem within the framework of the radial Klein-Gordon equation with attractive real-analytic screened Coulomb potentials, contained time-component of a Lorentz four-vector and a Lorentz-scalar term, is developed. Based upon h̄-expansions and suitable quantization conditions a new procedure for deriving ...

Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials

In a recent paper by Barton (J. Phys. A 40, 1011 (2007)), the 1-dimensional KleinGordon equation was solved analytically for the non-singular Coulomb-like potential V1(|x|) = −α/(|x|+a). In the present paper, these results are completely confirmed by a numerical formulation that also allows a solution for an alternative cutoff Coulomb potential V2(|x|) = −α/|x|, |x| > a, and otherwise V2(|x|) =...

solutions of the perturbed klein-gordon equations

this paper studies the perturbed klein-gordon equation by the aid of several methods of integrability. there are six forms of nonlinearity that are considered in this paper. the parameter domains are thus identified.

Perturbed Coulombic potentials in Dirac and Klein-Gordon equations

A relativistic extension of our pseudo-shifted l–expansion technique is presented to solve for the eigenvalues of Dirac and Klein-Gordon equations. Once more we show the numerical usefulness of its results via comparison with available numerical integration data.