Phys. Rev. A 64, 032114 (2001) [6 pages]Wigner functions on a latticeReceived 25 January 2001; published 17 August 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.032114
DOI:
10.1103/PhysRevA.64.032114
PACS:
03.65.Sq, 01.55.+b
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