  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.

Quantum Physics