Barnett-Pegg formalism of angle operators, revivals, and flux lines

Details Barnett-Pegg formalism of angle operators, revivals, and flux lines Barnett-Pegg formalism of angle operators, revivals, and flux lines

2000-06-29

arxiv.org/abs/quant-ph/0006127v1

Physics

Quantum Physics

5 pages, 0 figures, Revtex

Scientific paper

10.1103/PhysRevA.62.042110

We use the Barnett-Pegg formalism of angle operators to study a rotating particle with and without a flux line. Requiring a finite dimensional version of the Wigner function to be well defined we find a natural time quantization that leads to classical maps from which the arithmetical basis of quantum revivals is seen. The flux line, that fundamentally alters the quantum statistics, forces this time quantum to be increased by a factor of a winding number and determines the homotopy class of the path. The value of the flux is restricted to the rational numbers, a feature that persists in the infinite dimensional limit.

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