In this paper general working equations for the Morse (r-rₑ)ˡ matrix elements are given. These equations can be used to calculate the diagonal ($m=n$) matrix elements and, for the off-diagonal (m≠n) elements, are simpler to use than the ones currently available in the literature. Also, in this paper a new approach is given which allows one to obtain simple formulas, in closed form, for the off-diagonal matrix elements. Explicit expressions are given for l=1, 2, and 3.
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Jason A. C. Gallas (1980) studied this question.
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