Hydrogen Atom and One-Electron Molecular Systems in a Strong Magnetic Field: Are All of Them Alike

Easy physics-inspired approximations of the total and binding energies for the H atom and for the molecular ions H ( + ) 2 (ppe), H ( 2 + ) 3 (pppe), (HeH) + + (αpe), He ( 3 + ) 2 (ααe) as well as quadrupole moment for the H atom and the equilibrium distances of the molecular ions in strong magnetic fields > 10 9 G are proposed. The idea of approximation is based on the assumption that the dynamics of the one-electron Coulomb system in a strong magnetic field is governed by the ratio of transverse to longitudinal sizes of the electronic cloud.