26 citations · 54 across the 5 of their papers we have counts for
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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…
Discrete Space Structure of the 3D Wigner Quantum Oscillator
R. C. King, T. D. Palev, N. I. Stoilova +1
The properties of a noncanonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each st…
Quasiboson representations of sl(n+1) and generalized quantum statistics
T. D. Palev, J. Van der Jeugt
Generalized quantum statistics will be presented in the context of representation theory of Lie (super)algebras. This approach provides a natural mathematical framework, as is illu…