19 citations · 28 across the 4 of their papers we have counts for
6 papers · 1 filter
Representations of the orthosymplectic Lie superalgebra osp(1|4) and paraboson coherent states
R. Chakrabarti, N. I. Stoilova, J. Van der Jeugt
We introduce and obtain multimode paraboson coherent states. In appropriate subspaces these coherent states provide a decomposition of unity where the measure, when expressed using…
On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra gl(1|n) and applications
S. Lievens, N. I. Stoilova, J. Van der Jeugt
In a Wigner quantum mechanical model, with a solution in terms of the Lie superalgebra gl(1|n), one is faced with determining the eigenvalues and eigenvectors for an arbitrary self…
Lie superalgebraic framework for generalization of quantum statistics
N. I. Stoilova, J. Van der Jeugt
Para-Bose and para-Fermi statistics are known to be associated with representations of the Lie (super)algebras of class B. We develop a framework for the generalization of quantum…
A classification of generalized quantum statistics associated with basic classical Lie superalgebras
N. I. Stoilova, J. Van der Jeugt
Generalized quantum statistics such as para-statistics is usually characterized by certain triple relations. In the case of para-Fermi statistics these relations can be associated…
A classification of generalized quantum statistics associated with classical Lie algebras
N. I. Stoilova, J. Van der Jeugt
Generalized quantum statistics such as para-Fermi statistics is characterized by certain triple relations which, in the case of para-Fermi statistics, are related to the orthogonal…
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…