Number-phase Wigner function on extended Fock space

Details Number-phase Wigner function on extended Fock space Number-phase Wigner function on extended Fock space

2003-09-23

arxiv.org/abs/quant-ph/0309165v1

Physics

Quantum Physics

15 pages, revtex4

Scientific paper

On the basis of the phase states, we present the correct integral expressions of the two number-phase Wigner functions discovered so far. These correct forms are derived from those defined in the extended Fock space with negative number states. The analogous conditions to Wigner's original ones cannot lead to the number-phase function uniquely. To show this fact explicitly, we propose another function satisfying all these conditions. It is also shown that the ununiqueness of the number-phase Wigner function result from the phase-periodicity problem.

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