Features of time-independent Wigner functions

Thomas Curtright, David Fairlie, Cosmas Zachos

Research output: Contribution to journalArticle

154 Scopus citations

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. The 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 explicity through simple solvable potentials: the harmonic oscillator, the linear potential, the Pöschl-Teller potential, and the Liouville potential.

Original languageEnglish (US)
Article number025002
Pages (from-to)250021+2500214
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number2
StatePublished - Jul 15 1998

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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