On the position uncertainty measure on the circle

D A Trifonov
Institute for Nuclear Research, 72 Tzarigradsko Chaussee, 1784 Sofia,
Bulgaria

Received 7 July 2003
 

Abstract. New position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated in 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 Schrödinger–Robertson type.

PACS numbers: 03.65.-w, 02.30.Gp, 45.50.Dv
 
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