Abstract
A series expansion of the Green function of the Morse potential is derived which is an analogue of the well-known sturmian expansion of the Coulomb Green function. It is shown that this expansion provides a numerically manageable scheme to evaluate matrix elements of the Morse Green function with Morse wavefunctions for energies both below and above the continuum threshold. Alternative formulas which express these matrix elements in terms of generalized hypergeometric functions are also considered and recommendations for the practical application of these formulas are given.
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