The Solution of the Rotational Morse Potential Using the Method of Inverse Contour Representation

Abstract

For non-zero values, we present an analytical solution of the radial Schrodinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the method of inverse contour representation, The bound state energy eigenvalues and the corresponding eigenfunctions are obtained , The energy levels of all the bound states are easily calculated from this approche , The numerical calculations for four typical diatomic molecules HCl, CO ,H and LiH are compared with those obtained by other methods such as the super-symmetry, the variational, It is found that the results obtained by the present method are in good agreement with those obtained by other approximate methods. Keywords : Rotational morse potential , Pekeris approximation , Radial Schrodinger equation, Inverse contour representation, Curvilinear laplace transform , Confluent hypergeometric function, Euler Beta function, The riemann surfaces, Residues theorem of cauchy,