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 language | English (US) |
|---|---|
| Number of pages | 1 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 58 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1998 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Fingerprint Dive into the research topics of 'Features of time-independent Wigner functions'. Together they form a unique fingerprint.
Cite this
Curtright, T., Fairlie, D., & Zachos, C. (1998). Features of time-independent Wigner functions. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(2). https://doi.org/10.1103/PhysRevD.58.025002