D A Trifonov 2003 J. Phys. A: Math. Gen. 36 11873 doi:10.1088/0305-4470/36/47/013
On the position uncertainty measure on the circle
D A Trifonov
Show affiliationsNew position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated in several examples, where the previous measures (based on 2π-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 Schrödinger–Robertson type.
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Issue 47 (28 November 2003)
Received 7 July 2003
Published 12 November 2003
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On the position uncertainty measure on the circle
D A Trifonov 2003 J. Phys. A: Math. Gen. 36 11873
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