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arXiv · hep-th/9711183

Features of Time-independent Wigner Functions

Thomas Curtright·David Fairlie·Cosmas Zachos
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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.

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Thomas Curtright, David Fairlie, Cosmas Zachos. 1998-03-19. Features of Time-independent Wigner Functions. https://doi.org/10.1103/physrevd.58.025002

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