H2+ion in strong magnetic field: A variational study

Abstract

Using a single trial function, we perform an accurate calculation of the ground state $1{\ensuremath{\sigma}}_{g}$ 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 $1{\ensuremath{\sigma}}_{u}.$ 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.