Exact Solutions for Chebyshev Equations by using the Asymptotic Iteration Method

The asymptotic iteration method is used in order to solve the Chebyshev differential equations, and to reproduce the Chebyshev polynomials T n ( x ), U n ( x ) of the first and second kinds respectively. It is shown that the asymptotic iteration method is valid for any degree \u3b

Exact solution of Schrodinger equation for Pseudoharmonic potential

Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of l and n with n<5 for some diatomic molecules.Comment: 10 page

Exact Solutions for Chebyshev Equations by using the Asymptotic Iteration Method

The asymptotic iteration method is used in order to solve the Chebyshev differential equations, and to reproduce the Chebyshev polynomials T n ( x ), U n ( x ) of the first and second kinds respectively. It is shown that the asymptotic iteration method is valid for any degree

Splitting of degenerate states in one-dimensional quantum mechanics

10.1140/epjp/i2012-12028-8European Physical Journal Plus12731-