Wigner Functions on a Lattice

Details Wigner Functions on a Lattice Wigner Functions on a Lattice

2000-10-03

arxiv.org/abs/hep-lat/0010002v2

Phys.Rev. A64 (2001) 032114

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, no figures, REVTEX

Scientific paper

10.1103/PhysRevA.64.032114

The Wigner functions on the one dimensional lattice are studied. Contrary to the previous claim in literature, Wigner functions exist on the lattice with any number of sites, whether it is even or odd. There are infinitely many solutions satisfying the conditions which reasonable Wigner functions should respect. After presenting a heuristic method to obtain Wigner functions, we give the general form of the solutions. Quantum mechanical expectation values in terms of Wigner functions are also discussed.

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