The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods−Saxon potential are obtained in terms of the Jacobi polynomials. Nikiforov-Uvarov method is used in the calculations. It is shown that the results are in a good agreement with the ones obtained before. PACS: 03.65.-w; 02.30.Gp; 03.65.Ge; 68.49.-h; 24.10.Ht

The relativistic Dirac equation under spin symmetry is investigated for generalized Morse potential. We calculated the eigenvalues and the corresponding wave function by using the Nikiforov-Uvarov method. We also discussed two special cases: attractive radial and Deng-Fan potentials. We have also reported some numerical results and figures to show the effect of tensor interaction.

We show how, using the constructive approach for special functions introduced by Nikiforov and Uvarov, one can obtain recurrence relations for the hypergeometric-type functions not only for the continuous case but also for the discrete and q-linear cases, respectively. Some applications in Quantum Physics are discussed. 2000 Mathematics Subject Classification: 33C45, 33D45

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.

We present the exact supersymmetric solution of Schrödinger equation with the Morse, Pöschl-Teller and Hulthén potentials by using the Nikiforov-Uvarov method. Eigenfunctions and corresponding energy eigenvalues are calculated for the first six excited states. Results are in good agreement with the ones obtained before. PACS numbers: 03.65.Ge, 12.39.Jh

Solusi persamaan Schrodinger dari sistem partikel dapat memberikan infomasi karakteristik tersebut. gelombang dan energi partikel. Persamaan diperoleh berdasarkan bagian radial. Penyelesaian yang melibatkan potensial khusus dilakukan dengan menggunakan metode aproksimasi. Salah satu dalam atomik cukup penting adalah Hulthen. Potensial Hulthen banyak dikaji molekuler serta pada kasus plasma atom...

Abstract Three term relations for orthogonal polynomials in several variables associated to a moment linear functional obtained by Uvarov modification of given are studied. Existence is analyzed, stating conditions ensure it. The matrices the three explicitly terms satisfied original family. Two examples presented order show that results valid positive definite functionals and also some quasi w...

The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer potential plus ring-shaped 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 noncentral equal scalar and vector potentials. The results obtained in this work are m...

We show that the exact energy eigenvalues and eigenfunctions of the Schrödinger equation for charged particles moving in certain class of noncentral potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and com...