Abstract
Calculations in the Born-Oppenheimer approximation of curves for the ground-state energy of the $\mathrm{H}_{2}{}^{+}$ ion vs the separation, $R$, of its protons in magnetic fields making oblique angles $\ensuremath{\theta}$ with the line connecting the protons have recently been published. It is shown here that these curves are qualitatively incorrect. The variational trial function employed fails to approximate well the wave function of the $\mathrm{H}_{2}{}^{+}$ ground state for oblique fields, even though this function gives very accurate results for $\ensuremath{\theta}=0$. A trial function is proposed which gives much more accurate potential curves in oblique fields. It is used to plot and tabulate ground-state binding energies for various values of $\ensuremath{\theta}$, $R$, and magnetic field strength.
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