28 citations · 125 across the 10 of their papers we have counts for
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The parafermion Fock space and explicit so(2n+1) representations
N. I. Stoilova, J. Van der Jeugt
The defining relations (triple relations) of n pairs of parafermion operators f_j^\pm (j=1,...,n) are known to coincide with a set of defining relations for the Lie algebra so(2n+1…
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…
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…