Features of Time-independent Wigner Functions
High Energy Physics - Theory
2009-10-02 v3 Quantum Physics
Abstract
The Wigner phase-space distribution function provides the basis for Moyal's deformation quantization alternative to the more conventional Hilbert space and path integral quantizations. General features of time-independent Wigner functions are explored here, including the functional ("star") eigenvalue equations they satisfy; their projective orthogonality spectral properties; their Darboux ("supersymmetric") isospectral potential recursions; and their canonical transformations. These features are illustrated explicitly through simple solvable potentials: the harmonic oscillator, the linear potential, the Poeschl-Teller potential, and the Liouville potential.
Keywords
Cite
@article{arxiv.hep-th/9711183,
title = {Features of Time-independent Wigner Functions},
author = {Thomas Curtright and David Fairlie and Cosmas Zachos},
journal= {arXiv preprint arXiv:hep-th/9711183},
year = {2009}
}
Comments
18 pages, plain LaTex, References supplemented