Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method

Physics – Nuclear Physics – Nuclear Theory

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15 pages with 1 eps figure. accepted for publication in Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/39/22/010

For non-zero $\ell$ values, we present an analytical solution of the radial Schr\"{o}dinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the Asymptotic Iteration Method. The bound state energy eigenvalues and corresponding wave functions are obtained for a number of diatomic molecules and the results are compared with the findings of the super-symmetry, the hypervirial perturbation, the Nikiforov-Uvarov, the variational, the shifted 1/N and the modified shifted 1/N expansion methods.

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