Extended PeggBarnett Phase Operator
Abstract
Vorontsov and Rembovsky pointed out recently a problem that unphysical states appear after an approximate quantum measurement of the PeggBarnett phase [Phys. Lett. A 254 (1999), 7; 262 (1999), 486]. To give a solution to this problem, we introduce a quantum phase in the extended numberstate space and show that there is no VorontsovRembovsky problem in the extended space. In the infinitedimensional limit, the present extended formalism gives the same results in almost all cases as the PeggBarnett formalism. Also, it is shown that unphysical states can be suppressed by using the projection operator to the physical number space.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 October 2001
 DOI:
 10.1143/PTP.106.721
 Bibcode:
 2001PThPh.106..721K