Bound State Solutions of the Klein-Gordon Equation with Manning-Rosen Plus Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov

Analytical Solutions of the Klein–fock–gordon Equation with the Manning–rosen Potential plus a Ring-shaped like Potential

A. I. AHMADOV,∗,‡,¶ C. AYDIN†,§,‖ and O. UZUN†,∗∗ ∗Theory Division, Physics Department, CERN, CH-1211 Geneva 23, Switzerland †Department of Physics, Karadeniz Technical University, 61080, Trabzon, Turkey ‡Institute for Physical Problems, Baku State University, Z. Khalilov St. 23, AZ-1148, Baku, Azerbaijan §Department of Physics, University of Surrey, Guildford Surrey GU2 7XH, UK ¶ahmadovazar@ya...

Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method

The Schrödinger equation for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states energies. Additionally, the corresponding wave functions are expressed by the Jacobi polynomials. The Nikiforov-Uvarov (NU) method is used in the calculations. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Exact Bound State Solutions of the Schrödinger Equation for Noncentral Potential via the Nikiforov-Uvarov Method

Exact bound state solutions of the Schrödinger equation for generalized noncentral potential are examined by means of the Nikiforov-Uvarov method. The wavefunctions and the corresponding energy eigenvalues of the system are obtained analytically. The results examined for the potential are compatible with those obtained by the other methods.

Rotational Correction on the Morse Potential through the Pekeris Approximation and Nikiforov-uvarov Method

The Nikiforov-Uvarov method is employed to calculate the Schrödinger equation with a rotation Morse potential. The bound state energy eigenvalues and the corresponding eigenfunction are obtained. All of these calculations present an effective and clear method under a Pekeris approximation to solve a rotation Morse model. Meanwhile the results got here are in a good agreement with ones before. P...