38 citations · 156 across the 23 of their papers we have counts for
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Representations of the Lie Superalgebra gl(1|n) in a Gel'fand-Zetlin Basis and Wigner Quantum Oscillators
R. C. King, N. I. Stoilova, J. Van der Jeugt
An explicit construction of all finite-dimensional irreducible representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin basis is given. Particular attention is paid to…
A non-commutative n-particle 3D Wigner quantum oscillator
R. C. King, T. D. Palev, N. I. Stoilova +1
An n-particle 3-dimensional Wigner quantum oscillator model is constructed explicitly. It is non-canonical in that the usual coordinate and linear momentum commutation relations ar…
The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator
R. C. King, T. D. Palev, N. I. Stoilova +1
The properties of a non-canonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each s…
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…