Abstract
Using the adiabatic approximation and adiabatic variational approximation with an effective potential,the total energies and the equilibrium internuclear separations of H2^+ ion in states σg，πu，δg，φu，γg，ηu in strong magnetic fields have been calculated.Our results reproduced those obtained by Vincke and Baye (Vincke M and Baye D 1985 J.Phys.B:At.Mol.Phys.18 167),which are considered the most reliable.We found a basic function with better convergence than the Landau functions.
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