Exact Solutions of the Duffin Kemmer Petiau Equation for the Deformed Hulthen Potential

Using the Nikiforov Uvarov method, an application of the relativistic Duffin Kemmer Petiau equation in the presence of a deformed Hulthen potential is presented for spin zero particles. We derived the first order coupled differential radial equations which enable the energy eigenvalues as well as the full wavefunctions to be evaluated by using of the Nikiforov Uvarov method that can be written in terms of the hypergeometric polynomials.Comment: 8 pages. submitted to Physica Script

Relativistic solutions for double ring-shaped oscillator potential via asymptotic iteration method

The three dimensional Klein-Gordon equation is solved with a double ring-shaped oscillator for the case of the equal vector and scalar potential, V(r,theta) = 1/2kr(2) + b/r(2) sin(2) theta + a/r(2) cos(2) theta, by using the asymptotic iteration method which is very efficient, systematic and practical. The bound states energy eigenvalues and corresponding eigenfunctions are presented for a particle bound in a potential of a double ring-shaped oscillator