Supersymmetric Solution of Schrödinger Equation for central confining Potentials by using the Nikiforov-Uvarov Method
نویسندگان
چکیده
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
منابع مشابه
Supersymmetric Approach for Eckart Potential Using the NU Method
Using supersymmetric approach, the Schrödinger equation for various potentials can be exactly solved. In this work, the solutions of Schrödinger equation for Eckart potential is exactly obtained via the Nikiforov-Uvarov method. The corresponding energy eigenstates and energy eigenvalue of Hamiltonian analytically are found. PACS: 12.20.-m; 11.80.-m; 11.80.Et
متن کاملExact 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.
متن کاملExact Solution of Schrödinger equation with deformed Ring-Shaped Potential
Exact solution of the Schrödinger equation with deformed ring shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues are calculated analytically. The agreement of our results is good. PACS numbers: 03.65.-w, 12.39.Jh, 21.10.-k
متن کاملPolynomial Solution of Non-Central Potentials
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...
متن کاملExact solutions of the pseudo-Coulomb potential plus ring-shaped potential in the D-dimensional Schrödinger equation by the Nikiforov-Uvarov method
We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for an alternative (often used) pseudoCoulomb potential-plusring-shaped potential of the form V (r) = −ar + b r + β cos θ r sin θ + c by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the w...
متن کامل