42 citations · 585 across the 52 of their papers we have counts for
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quant-ph2013★ 8 cited
A Wigner distribution function for finite oscillator systems
Joris Van der Jeugt
We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The d…
math-ph2013★ 13 cited
The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials
E. I. Jafarov, J. Van der Jeugt
We investigate an algebraic model for the quantum oscillator based upon the Lie superalgebra sh(2|2), known as the Heisenberg-Weyl superalgebra or "the algebra of supersymmetric qu…