publication . Article . Preprint . 2000

Wigner functions on a lattice

Akiyoshi Takami; Takaaki Hashimoto; Minoru Horibe; A. Hayashi;
Open Access
  • Published: 03 Oct 2000 Journal: Physical Review A, volume 64 (issn: 1050-2947, eissn: 1094-1622, Copyright policy)
  • Publisher: American Physical Society (APS)
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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Subjects
free text keywords: High Energy Physics - Lattice, Quantum Physics, Wigner quasiprobability distribution, Quantum, Wigner semicircle distribution, Physics, Lattice (order), Wigner D-matrix, Wigner distribution function, Quantum mechanics

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