TheH2+molecule in strong magnetic fields, studied by the method of linear combinations of orbitals

We have studied the ground state of the ${\mathrm{H}}_2^{+}$ molecular ion in the presence of a homogeneous magnetic field, basing this study on a linear combination of atomic orbitals obtained from the hydrogen atom in a magnetic field. The calculations have shown that this scheme is adequate to describe the binding energy of the molecule at field strengths up to approximately ${10}^{10}$ G.