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 language | English (US) |
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Article number | 025002 |
Pages (from-to) | 250021+2500214 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 58 |
Issue number | 2 |
DOIs | |
State | Published - Jul 15 1998 |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)