authors
- IBORT LATRE, LUIS ALBERTO
- MANŽKO, V. I.
- MARMO, G
- Simoni, A.
- VENTRIGILIA, F.
A Generalized Wigner Function on the Space of Irreducible Representations of the Weyl-Heisenberg Group and its Transformation Properties
Articles
Overview
published in
publication date
- April 2009
start page
- 155302
end page
- 155313
issue
- 15
volume
- 42
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 1751-8113
Electronic International Standard Serial Number (EISSN)
- 1751-8121
abstract
- A natural extension of the Wigner function to the space of irreducible unitary representations of the Weyl&-Heisenberg group is discussed. The action of the automorphisms group of the Weyl&-Heisenberg group onto Wigner functions and their generalizations and onto symplectic tomograms is elucidated. Some examples of physical systems are considered to illustrate some aspects of the characterization of the Wigner functions as solutions of differential equations.