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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…
Lie Algebraical Aspects of the Quantum Statistics. Unitary Quantization (A-quantization)
T. D. Palev
This manuscript was published as a JINR Preprint E17-10550 in 1977. In view of the recent interest in various new kinds of statistics it seems the results it contains may be still…
Quantisation of U[OSP(1/2N)] with Deformed Para-Bose Operators
T. D. Palev
The observation that pairs of para-Bose (pB) operators generate the universal enveloping algebra of the orthosymplectic Lie superalgebra is used in order to define…