S. Olszewski, COMPLEMENTARITY RELATIONS FOR THE EXTREME CHANGES OF ELECTRON DYNAMICAL OBSERVABLES IN THE HYDROGEN-ATOM, Polish Journal of Chemistry, 71(12), 1997, pp. 1841-1851
Extreme changes of electron dynamical observables in the hydrogen atom
are examined. It is found that these changes calculated for the funda
mental electron observables (position, momentum, time period and energ
y) can be combined into products whose values are not much different t
han the Planck constant h. A similar property is demonstrated for the
rotation angle and orbital angular momentum of an electron enclosed in
a spherical cavity. Extreme changes calculated for the observables be
ing a function of electron position and momentum can be also combined
into products, which are formally similar to expressions obtained for
the commutators of the observables.