Open Access
VOL. 5 | 2004 Position Uncertainty Measures on the Sphere
Dimitar A. Trifonov

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2004: 211-224 (2004) DOI: 10.7546/giq-5-2004-211-224


Position uncertainty (delocalization) measures for a particle on the sphere are proposed and illustrated on several examples of states. The new measures are constructed using suitably the standard multiplication angle operator variances. They are shown to depend solely on the state of the particle and to obey uncertainty relations of the Schrödinger-Robertson type. A set of Hermitian operators with continuous spectrum is pointed out the variances of which are complementary to the longitudinal angle uncertainty measure.


Published: 1 January 2004
First available in Project Euclid: 12 June 2015

zbMATH: 1072.81037
MathSciNet: MR2082307

Digital Object Identifier: 10.7546/giq-5-2004-211-224

Rights: Copyright © 2004 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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