Erratum: Determination of the dipole polarizabilities ofH2+(0,0)and

P. L. Jacobson¹,

D. S. Fisher²,

Charles Fehrenbach³

et al.

Dipole polarizability of the hydrogen molecular ion

“…The separation of nuclear and electronic motion is the underlying principle of the theory of molecular structure. The theory is challenged by recent measurements of Jacobson et al [1] of the electric dipole polarizabilities of H 2 + and D 2 + which have a precision beyond that obtained in the Born-Oppenheimer approximation. The measurements stimulated the introduction of methods [2][3][4][5] that take into account the diabatic coupling omitted in the earlier calculations and they led to polarizabilities that agree with the measured values within the combined experimental and theoretical uncertainties.…”

“…This expression for the polarizability is stationary with respect to first order errors in Ψ (1) and is bounded from below.…”

“…1. The sums S(−3) and S(−4) are related to quantities occurring in the determination of the polarizabilities [1,[13][14][15]. S(−3) enters in the combination Fig.…”

Relativistic corrections to the dipole polarizability of the ground state of the molecular ionH2+

“…Recent measurements [1,2] of the scalar electric dipole polarizability of H + 2 molecular ion through the study of H 2 molecule states with one Rydberg electron stimulated the introduction of methods [3]- [6] which are able to accurately describe wave functions of molecular ions with two heavy nuclei beyond the adiabatic approximation. The accuracy for the dipole polarizability constant (∼ 10 −7 a 3 0 ) reached in the last work [6] in its turn become a challenge to experiment.…”

Variational calculations on the hydrogen molecular ion

“…The present work is a systematic high precision nonadiabatic 1 study of H 2 + and D 2 + in each of the lowest electronic states of Σ g , Σ u , and Π u symmetry carried out using variational basis sets. It is motivated by recent precise experimental spectroscopy of Rydberg states of the hydrogen and deuterium molecules that has led to accurate experimental values of the the electric dipole polarizability of the corresponding molecular ions in their ground states [1]. These experiments were followed by several papers detailing various nonadiabatic calculations of the electric dipole polarizability [2][3][4][5].…”