  In this paper we overview some results on the hydrogen atom in external
static uniform magnetic fields. We focus on the case of very strong magnetic
field, B>>B_0=2.3x10^9 Gauss, use various approximate models and, particularly,
in the adiabatic approximation have calculated exactly the integral defining
the effective potential. This potential appears to be finite at z=0. Our
consideration of the problem of highly magnetized atoms and molecules is
motivated by the recently developed MagneGas technology by Santilli
(http://www.magnegas.com). The ground state electron charge distribution of the
hydrogen atom in an intense magnetic field is of a toroidal form, in agreement
with that studied by Santilli. This physical picture is at the foundation of
the new chemical species of magnecules proposed by Santilli.
