Abstract
Two important formulas for the matrix elements of the Morse potential are shown to be equivalent. The proof rests on certain theorems relating generalized hypergeometric functions of unit argument.
Similar content being viewed by others
References
M. Berrondo, A. Palma and J.L. Ló;pez-Bonilla, Int. J. Quant. Chem. 31 (1987) 243.
V. Gaftoi, J. López, J. Morales and D. Navarrete, Rev. Mexicana Fis. 36 (1990) 649.
P.M. Morse, Phys. Rev. 34 (1929) 57.
N. Rosen, J. Chem. Phys. 1 (1933) 319.
L.J. Slater, Generalized Hypergeometric Functions(Cambridge University Press, Cambridge, 1966).
V.S. Vasan and R.J. Cross, J. Chem. Phys. 78 (1983) 3869.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Morales, D.A. A proof of the equivalence of two formulas for the matrix elements of the Morse potential. Journal of Mathematical Chemistry 22, 255–257 (1997). https://doi.org/10.1023/A:1019188201154
Issue Date:
DOI: https://doi.org/10.1023/A:1019188201154