Modified shifted large-<i>N</i>approach to the Morse oscillator

Abstract

It is observed that the well-known shifted large-N technique proposed by Imbo, Pagnamenta, and Sukhatme [Phys. Rev. D 29, 1669 (1984)] fails to yield the correct behavior of the bound-state wave function for the Morse oscillator. To remove this inadequacy, we propose a modified approach which not only restores the exact analytic expressions for the energy eigenvalues and eigenfunctions for the Morse oscillator but also predicts quite accurate results for the rotating Morse oscillator.