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Wigner Functions on a Lattice

Authors
  • Takami, A.
  • Hashimoto, T.
  • Horibe, M.
  • Hayashi, A.
Type
Published Article
Publication Date
Feb 17, 2001
Submission Date
Oct 03, 2000
Identifiers
DOI: 10.1103/PhysRevA.64.032114
Source
arXiv
License
Unknown
External links

Abstract

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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