42 citations · 585 across the 52 of their papers we have counts for
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A finite quantum oscillator model related to special sets of Racah polynomials
Roy Oste, Joris Van der Jeugt
In Oste and Van der Jeugt, SIGMA, 12 (2016) we classified all pairs of recurrence relations in which two (dual) Hahn polynomials with different parameters appear. Such pairs are re…
A finite oscillator model with equidistant position spectrum based on an extension of
Roy Oste, Joris Van der Jeugt
We consider an extension of the real Lie algebra by introducing a parity operator and a parameter . This extended algebra is isomorphic to the Bannai-Ito…
The Wigner distribution function for the finite oscillator and Dyck paths
Roy Oste, Joris Van der Jeugt
Recently, a new definition for a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-…
Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix
Roy Oste, Joris Van der Jeugt
The Clement or Sylvester-Kac matrix is a tridiagonal matrix with zero diagonal and simple integer entries. Its spectrum is known explicitly and consists of integers which makes it…
Extension of the osp(m|n)~ so(m-n) Correspondence to the Infinite-Dimensional Chiral Spinors and Self Dual Tensors
N. I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt
The spinor representations of the orthosymplectic Lie superalgebras osp(m|n) are considered and constructed. These are infinite-dimensional irreducible representations, of which th…