Abstract
The variational principle is used to determine the ionization energy and equilibrium internuclear separation of a hydrogen molecule ion in the presence of magnetic fields of strength up to . The trial wave functions used are made of some linear combinations of the unperturbed wave functions of the hydrogen atom. The results are shown to be better than those of de Melo, Ferreira, Brandi, and Mirandi for fields less than ~3 × 1010 G.

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