42 citations · 585 across the 52 of their papers we have counts for
4 papers · 1 filter
Angular momentum decomposition of the three-dimensional Wigner harmonic oscillator
Gilles Regniers, Joris Van der Jeugt
In the Wigner framework, one abandons the assumption that the usual canonical commutation relations are necessarily valid. Instead, the compatibility of Hamilton's equations and th…
The su(2)_α Hahn oscillator and a discrete Hahn-Fourier transform
E. I. Jafarov, N. I. Stoilova, J. Van der Jeugt
We define the quadratic algebra su(2)_α which is a one-parameter deformation of the Lie algebra su(2) extended by a parity operator. The odd-dimensional representations of su(2) (w…
Finite oscillator models: the Hahn oscillator
E. I. Jafarov, N. I. Stoilova, J. Van der Jeugt
A new model for the finite one-dimensional harmonic oscillator is proposed based upon the algebra u(2)_α. This algebra is a deformation of the Lie algebra u(2) extended by a parity…
An Exactly Solvable Spin Chain Related to Hahn Polynomials
Neli I. Stoilova, Joris Van der Jeugt
We study a linear spin chain which was originally introduced by Shi et al. [Phys. Rev. A 71 (2005), 032309, 5 pages], for which the coupling strength contains a parameter and d…