Asymptotic behavior of the ground-state-energy expansion for $H_{2}^{+}$ in terms of internuclear separation

1 September 1980

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 22 (3) , 793-796
https://doi.org/10.1103/physreva.22.793

Abstract

The asymptotic behavior of the coefficients

a_{n}

in the expansion of the ground-state energy of the hydrogen molecular ion in terms of the inverse powers of the internuclear separation is found to be

a_{n} = - (n + 1)! 2^{- n} e^{- 2} [1 + 2 n^{- 1} - 20 n^{- 2} - 45 n^{- 3} + O (n^{- 4})]

. The first two terms of this numerically obtained expression agree with the "asymptotic conjecture" involving the lowest excitation energy of

H_{2}^{+}

Keywords

This publication has 13 references indexed in Scilit:

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Asymptotic behavior of the ground-state-energy expansion forH2+in terms of internuclear separation

Abstract

Keywords

Asymptotic behavior of the ground-state-energy expansion for $H_{2}^{+}$ in terms of internuclear separation