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The Klein-Gordon equation with the Kratzer potential in d dimensions

100%

Saad N., Hall R., Ciftci H.

Open Physics

2008

vol. 6

issue 3

717-729

We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.

Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential

86%

Ikhdair S., Sever R.

Open Physics

2008

vol. 6

issue 1

141-152

The Klein-Gordon equation in D-dimensions for a recently proposed ring-shaped Kratzer 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 non-central equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three dimensions given by other works.

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2 Open Physics

2 2008

1 Ciftci H.

1 Hall R.

1 Ikhdair S.

1 Saad N.

1 Sever R.

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The Klein-Gordon equation with the Kratzer potential in d dimensions

Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential