Rapidly Converging Bounds for the Ground-State Energy of Hydrogenic Atoms in Superstrong Magnetic Fields

The calculation of rapidly converging lower and upper bounds to the ground-state energy, Eg, of hydrogenic atoms in superstrong magnetic fields (B10⁹ G) has been an important theoretical problem for the past twenty-five years. Much effort has gone into reconciling the many different estimates for Eg predicted by an assortment of techniques. On the basis of recently developed eigenvalue moment methods, a precise solution involving rapidly converging bounds to Eg for arbitrary superstrong magnetic field strengths, is now possible.