Can the Wigner function be determined by properties for translation and parity transformation on lattice phase space?

Details Can the Wigner function be determined by properties for translation and parity transformation on lattice phase space? Can the Wigner function be determined by properties for translation and parity transformation on lattice phase space?

2002-08-07

arxiv.org/abs/quant-ph/0208045v1

J.Phys.A:Math.Gen. 36(2003)7601-7609

Physics

Quantum Physics

13 pages

Scientific paper

10.1088/0305-4470/36/27/312

We show that the Fano operator for one dimensional quantum system is uniquely
determined by assuming the reasonable behavior under translation and parity
transformation on phase space. Contrarily, for the system with lattice phase
space the same procedure does not work.

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