Using a single trial function, we perform an accurate calculation of the ground state $1{\sigma }_g$ of the hydrogenic molecular ion ${\mathrm{H}}_2^{+}$ in a constant uniform magnetic field ranging from 0 to ${10}^{13}$ G. We show that this trial function also makes it possible to study the negative parity ground state $1{\sigma }_u.$ We show that, over the whole range of magnetic fields studied the calculated binding energies are in most cases larger than binding energies obtained previously by other authors using different methods.

• Received 27 June 1997

DOI:https://doi.org/10.1103/PhysRevA.56.4496