26 citations · 85 across the 6 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…
Harmonic oscillators coupled by springs: discrete solutions as a Wigner Quantum System
S. Lievens, N. I. Stoilova, J. Van der Jeugt
We consider a quantum system consisting of a one-dimensional chain of M identical harmonic oscillators with natural frequency , coupled by means of springs. Such systems have be…