28 citations · 125 across the 10 of their papers we have counts for
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math-ph2006★ 8 cited
A classification of generalized quantum statistics associated with the exceptional Lie (super)algebras
N. I. Stoilova, J. Van der Jeugt
Generalized quantum statistics (GQS) associated to a Lie algebra or Lie superalgebra extends the notion of para-Bose or para-Fermi statistics. Such GQS have been classified for all…
hep-th2006★ 19 cited
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…
hep-th2006★ 10 cited
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…