Numerical solution of the Schrödinger equation with the Deng-Fan-Eckart potential by using the laguerre pseudospectral method

In this thesis, numerical solution of the Schrödinger equation with the Deng- Fan-Eckart potential will be obtained by using the Laguerre pseudospectral method. To this end, first the problem will be transformed to a more tractable form. Then, by making use of the transformed equation, the Laguerre polynomials with the most suitable parameter will be chosen as a basis set in order to use in a pseudospectral scheme. The computed approximate eigenvalues and eigenfunctions will be reported in tables and figures. Finally, the efficiency of the method will be discussed by comparing with literature results.