COMPLEMENTARITY RELATIONS FOR THE EXTREME CHANGES OF ELECTRON DYNAMICAL OBSERVABLES IN THE HYDROGEN-ATOM

Authors
Citation
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
Citations number
30
Categorie Soggetti
Chemistry
Journal title
ISSN journal
01375083
Volume
71
Issue
12
Year of publication
1997
Pages
1841 - 1851
Database
ISI
SICI code
0137-5083(1997)71:12<1841:CRFTEC>2.0.ZU;2-8
Abstract
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.