VARIANCE OF TRANSITION AMPLITUDES FOR HYDROGEN IN A STRONG MAGNETIC-FIELD

We calculate the variance characterizing the distribution of transitio n amplitudes for the hydrogen atom in a strong magnetic field, where t he transition amplitudes are available experimentally. For two operato rs, namely ($) over cap Z and ($) over cap P-2, we find excellent agre ement between the quantum variances and the corresponding semi-classic al approximations. We show that the semi-classical analysis is conside rably simplified by making use of the scaling property of the system.