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

By O. Bayrak, I. Boztosun. 2006

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For non-zerovalues, we present an analytical solution of the radial Schr¨ odinger 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 wavefunctions 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.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d7920b3a57483ffe0892dd8747e8aee6e049b6ab