The probability w(L) of Lorentzian ionization, which arises when an at
om or ion moves in a constant magnetic held, is calculated in the quas
iclassical approximation. The nonrelativistic (upsilon less than or si
milar to e(2)/(h) over bar = 1, upsilon is the velocity of the atom) a
nd ultrarelativistic (upsilon --> c = 137) cases are examined and the
stabilization factor S, which takes account of the effect of the magne
tic field on tunneling of an electron, is found. (C) 1997 American Ins
titute of Physics.