29 citations · 69 across the 10 of their papers we have counts for
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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…
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…
Discrete series representations for sl(2|1), Meixner polynomials and oscillator models
E. I. Jafarov, J. Van der Jeugt
We explore a model for the one-dimensional quantum oscillator based upon the Lie superalgebra sl(2|1). For this purpose, a class of discrete series representations of sl(2|1) is co…
Analytically solvable Hamiltonians for quantum systems with a nearest neighbour interaction
G. Regniers, J. Van der Jeugt
We consider quantum systems consisting of a linear chain of n harmonic oscillators coupled by a nearest neighbour interaction of the form ( refers to the positi…