On the position uncertainty measure on the circle

Details On the position uncertainty measure on the circle On the position uncertainty measure on the circle

2003-07-19

arxiv.org/abs/quant-ph/0307137v1

J. Phys. A36 (2003) 11873

Physics

Quantum Physics

Latex 2e, 7 pages, 1 .ps figure

Scientific paper

10.1088/0305-4470/36/47/013

New position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated on several examples, where the previous measures (based on 2pi-periodic position operators) appear to be unsatisfactory. The new measures are suitably constructed using 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.

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