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

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 eigenfunctions are obtained for a particle bound in a potential of $V(r,\theta) = \frac{\alpha}{r} + \frac{\beta}{r^2\sin ^2\theta} + \gamma \frac{\cos \theta}{r^2\sin ^2\theta}$ type.Comment: 12 pages, accepted for publication in Journal of Mathematical Physic

Relativistic and nonrelativistic solutions for diatomic molecules in the presence of double ring-shaped Kratzer potential

The authors investigate solutions of the three dimensional Klein-Gordon and Schrödinger equations in the presence of a new exactly solvable potential of V (r,θ) =-2 De (re r- (12) (re2 r2)) +b r2 sin2 θ+a r2 cos2 θ type, the so-called double ring-shaped Kratzer potential. For a diatomic molecule system in double ring-shaped Kratzer potential, the exact bound state energy eigenvalues and corresponding wave functions have been determined within the framework of the asymptotic iteration method. Bound state eigenfunction solutions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric function and Jacobi polynomial. This new formulation is tested by calculating the energies of rovibrational states of a number of diatomic molecules. Also, the author-prove that in the nonrelativistic limit c→∞, where c is the speed of light, solutions of the Klein-Gordon system converge to those of the Schrödinger system. © 2007 American Institute of Physics

Exact analytical solution of the Klein-Gordon equation for the pionic atom by asymptotic iteration method

Within the framework of the asymptotic iteration method, we investigate the exact analytical solution for picnic atom in the Coulomb field of a nucleus. Exact bound state energy eigenvalues and corresponding eigenfunctions are determined for the case of angular momentum l not equal 0, for which the Coulomb potential is exactly solvable. Bound state eigenfunctions solutions, which have been extremely used in applications related with molecular spectroscopy, are obtained in terms of confluent hypergeometric functions

Comparative study of the multiquadric and thin-plate spline radial basis functions for the transient-convective diffusion problems

The numerical solutions of the unsteady transient-convective diffusion problems are investigated by using multiquadric (MQ) and thin-plate spline (TPS) radial basis functions (RBFs) based on mesh-free collocation methods with global basis functions. The results of radial basis functions are compared with the mesh-dependent boundary element and finite difference methods as well as the analytical solution for high Péclet numbers. It is reported that for low Péclet numbers, MQ-RBF provides excellent agreement, while for high Péclet numbers, TPS-RBF is better than MQ-RBF. © World Scientific Publishing Company

The gK(0)(*)K pi coupling constant in QCD

The strong coupling constant g kappa (0)*kappa pi of the scalar K-0* meson decay to K pi is calculated in light cone QCD sum rule. The predicted value of the coupling constant g kappa (0)*kappa pi is in a good agreement with the experimental result