Position Uncertainty Measures on the Sphere
Abstract
Description
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 Schroedinger--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.
Latex, 9 pages, 5 figures; To appear in Proceedings of Int. Conf. on Geometry, Integrability and Quantization, held in Varna 2003
Latex, 9 pages, 5 figures; To appear in Proceedings of Int. Conf. on Geometry, Integrability and Quantization, held in Varna 2003