Wigner quantum systems (Lie superalgebraic approach)

Abstract

We present three groups of examples of Wigner Quantum Systems related to the Lie superalgebras $osp(1/6n)$, $sl(1/3n)$ and $sl(n/3)$ and discuss shortly their physical features. In the case of $sl(1/3n)$ we indicate that the underlying geometry is noncommutative.

8 pages, Latex. to be published in Rep. Math. Phys

Cited by in corpus (2)

• Solutions of the compatibility conditions for a Wigner quantum oscillator
• A classification of generalized quantum statistics associated with basic classical Lie superalgebras