Features of time-independent Wigner functions

Thomas Curtright, David Fairlie, Cosmas Zachos

Research output: Contribution to journalArticle

14 Citations (Scopus)

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

Original languageEnglish (US)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number2
DOIs
StatePublished - Jan 1 1998

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orthogonality
Hilbert space
harmonic oscillators
eigenvalues
distribution functions
stars

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Features of time-independent Wigner functions. / Curtright, Thomas; Fairlie, David; Zachos, Cosmas.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 2, 01.01.1998.

Research output: Contribution to journalArticle

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