Exact Supersymmetric Solution of Schrodinger Equation for central confining Potentials by using the Nikiforov-Uvarov Method

We present the exact supersymmetric solution of Schrodinger equation with the Morse, Poschl-Teller and Hulthen 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.Comment: 1

Bound State Solutions of the Schr\"odinger Equation for Generalized Morse Potential With Position Dependent Mass

The effective mass one-dimensional Schr\"odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the case of constant mass. Energy eigenvalues are computed numerically for some diatomic molecules. The results are in agreement with the ones obtained before.Comment: Accepted for publication in Commun. Theor. Phys., 12 pages, 1 tabl

Approximate l-State Solutions of the Klein-Gordon Equation for Modified Woods-Saxon Potential With Position Dependent Mass

The radial part of the Klein-Gordon equation for the generalized Woods-Saxon potential is solved by using the Nikiforov-Uvarov method in the case of spatially dependent mass within the new approximation scheme to the centrifugal potential term. The energy eigenvalues and corresponding normalized eigenfunctions are computed. The solutions in the case of constant mass are also studied to check out the consistency of our new approximation scheme.Comment: 15 page

An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials

Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.Comment: 13 page

Exponential Type Complex and non-Hermitian Potentials within Quantum Hamilton-Jacobi Formalism

PT-/non-PT-symmetric and non-Hermitian deformed Morse and Poschl-Teller potentials are studied first time by quantum Hamilton-Jacobi approach. Energy eigenvalues and eigenfunctions are obtained by solving quantum Hamilton-Jacobi equation.Comment: 16 page

Feinberg-Horodecki Equation with P\"oschl-Teller Potential: Space-like Coherent States

We obtain the quantized momentum solutions, $\mathcal{P}_{n}$, of the Feinberg-Horodecki equation. We study the space-like coherent states for the space-like counterpart of the Schr\"odinger equation with trigonometric P\"oschl-Teller potential which is constructed by temporal counterpart of the spatial P\"oschl-Teller potential.Comment: 8 page