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Zbl 1072.81037
Trifonov, Dimitar A.
Position uncertainty measures on the sphere. (English)
[A] Mladenov, Iva\"ilo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5--12, 2003. Sofia: Bulgarian Academy of Sciences. 211-224 (2004). ISBN 954-84952-8-7/pbk

Summary: 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.

MSC 2000:: *81S05 Commutation relations (quantum theory)
81S30 Phase space methods in quantum mechanics
81R30 Coherent states in quantum theory

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