10 research outputs found
Exact solutions of the Schrodinger equation with non central potential by Nikiforov Uvarov method
The general solutions of Schrodinger equation for non central potential are
obtained by using Nikiforov Uvarov method. The Schrodinger equation with
general non central potential is separated into radial and angular parts and
energy eigenvalues and eigenfunctions for these potentials are derived
analytically. Non central potential is reduced to Coulomb and Hartmann
potential by making special selections, and the obtained solutions are compared
with the solutions of Coulomb and Hartmann ring shaped potentials given in
literature.Comment: 12 pages. submitted to Journal of Physics A: Math. and Ge
A search on the Nikiforov-Uvarov formalism
An alternative treatment is proposed for the calculations carried out within
the frame of Nikiforov-Uvarov method, which removes a drawback in the original
theory and by pass some difficulties in solving the Schrodinger equation. The
present procedure is illustrated with the example of orthogonal polynomials.
The relativistic extension of the formalism is discussed.Comment: 10 page
A General Approach for the Exact Solution of the Schrodinger Equation
The Schr\"{o}dinger equation is solved exactly for some well known
potentials. Solutions are obtained reducing the Schr\"{o}dinger equation into a
second order differential equation by using an appropriate coordinate
transformation. The Nikiforov-Uvarov method is used in the calculations to get
energy eigenvalues and the corresponding wave functions.Comment: 20 page