Easy physics-inspired approximations of the total and binding energies for the ${ \rm H}$ atom and for the molecular ions $${ \rm H}_2^{ (+)} ({ \rm ppe}), { \rm H}_3^{ (2+)} ({ \rm pppe}), ({ \rm HeH})^{ ++} (\al { \rm p e}), { \rm He}_2^{ (3+)} (\al \al { \rm e})$$ as well as quadrupole moment for the ${ \rm H}$ 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.
Categories: physics.atom-ph