34 citations · 230 across the 32 of their papers we have counts for
32 papers
A Note on the Statistics of Hardcore Fermions
T. D. Palev
It is shown that the statistics of the hardcore fermions is A-superstatistics of order one [see T.D.P. J. Math. Phys. 21, 1293 (1980)]. The Pauli principle for these particles is f…
SL(3|N) Wigner quantum oscillators: examples of ferromagnetic-like oscillators with noncommutative, square-commutative geometry
T. D. Palev
A system of non-canonical dynamically free 3D harmonic oscillators is studied. The position and the momentum operators (PM-operators) of the system do not satisfy the canonical…
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…
Microscopic and macroscopic properties of A-superstatistics
T. D. Palev, N. I. Stoilova, J. Van der Jeugt
The microscopic and the macroscopic properties of A-superstatistics, related to the class A(0,n-1)\equiv sl(1|n) of simple Lie superalgebras are investigated. The algebra sl(1|n) i…
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…
Deformed Clifford Cl_q(n|m) and orthosymplectic U_q[osp(2n+1|2m)] superalgebras and their root of unity representations
H. -D. Doebner, T. D. Palev, N. I. Stoilova
It is shown that the Clifford superalgebra Cl(n|m) generated by m pairs of Bose operators (odd elements) anticommuting with n pairs of Fermi operators (even elements) can be deform…