29 citations · 69 across the 10 of their papers we have counts for
10 papers
A class of representations of the -graded special linear Lie superalgebra and quantum statistics
N. I. Stoilova, J. Van der Jeugt
The description of the -graded special linear Lie superalgebra is carried out via generators $a_1^\pm,\ldots, a_…
Generalized boson and fermion operators with a maximal total occupation property
N. I. Stoilova, J. Van der Jeugt
We propose a new generalization of the standard (anti-)commutation relations for creation and annihilation operators of bosons and fermions. These relations preserve the usual symm…
Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter
E. I. Jafarov, S. M. Nagiyev, R. Oste +1
We present an exact solution of a confined model of the non-relativistic quantum harmonic oscillator, where the effective mass and the angular frequency are dependent on the positi…
Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl--Dirac operator
Hendrik De Bie, Alexis Langlois-Rémillard, Roy Oste +1
The Dunkl--Dirac operator is a deformation of the Dirac operator by means of Dunkl derivatives. We investigate the symmetry algebra generated by the elements supercommuting with th…
On characters and superdimensions of some infinite-dimensional irreducible representations of
N. I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt
Chiral spinors and self dual tensors of the Lie superalgebra are infinite dimensional representations belonging to the class of representations with Dynkin la…
The Krawtchouk oscillator model under the deformed symmetry
E. I. Jafarov, A. M. Jafarova, J. Van der Jeugt
We define a new algebra, which can formally be considered as a deformed Lie algebra. Then, we present a one-dimensional quantum oscillator mod…