26 citations · 66 across the 5 of their papers we have counts for
5 papers
The Wigner distribution function for the one-dimensional parabose oscillator
E. I. Jafarov, S. Lievens, J. Van der Jeugt
In the beginning of the 1950's, Wigner introduced a fundamental deformation from the canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a Wigner q…
Harmonic oscillator chains as Wigner Quantum Systems: periodic and fixed wall boundary conditions in gl(1|n) solutions
S. Lievens, N. I. Stoilova, J. Van der Jeugt
We describe a quantum system consisting of a one-dimensional linear chain of n identical harmonic oscillators coupled by a nearest neighbor interaction. Two boundary conditions are…
The paraboson Fock space and unitary irreducible representations of the Lie superalgebra osp(1|2n)
S. Lievens, N. I. Stoilova, J. Van der Jeugt
It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators $b^\pm…
The Wigner function of a q-deformed harmonic oscillator model
E. I. Jafarov, S. Lievens, S. M. Nagiyev +1
The phase space representation for a q-deformed model of the quantum harmonic oscillator is constructed. We have found explicit expressions for both the Wigner and Husimi distribut…
On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra gl(1|n) and applications
S. Lievens, N. I. Stoilova, J. Van der Jeugt
In a Wigner quantum mechanical model, with a solution in terms of the Lie superalgebra gl(1|n), one is faced with determining the eigenvalues and eigenvectors for an arbitrary self…