156 citations · 433 across the 39 of their papers we have counts for
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Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler-Coulomb Potential
Yannis Tanoudis, Costas Daskaloyannis
In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superinteg…
Variants of bosonisation in Parabosonic algebra. The Hopf and super-Hopf structures
K. Kanakoglou, C. Daskaloyannis
Parabosonic algebra in finite or infinite degrees of freedom is considered as a -graded associative algebra, and is shown to be a -graded (or: super…
Quadratic algebras for three dimensional non degenerate superintegrable systems with quadratic integrals of motion
Y. Tanoudis, C. Daskaloyannis
The three dimensional superintegrable systems with quadratic integrals of motion have five functionally independent integrals, one among them is the Hamiltonian. Kalnins, Kress and…
Paraboson quotients. A braided look at Green ansatz and a generalization
K. Kanakoglou, C. Daskaloyannis
Bosons and Parabosons are described as associative superalgebras, with an infinite number of odd generators. Bosons are shown to be a quotient superalgebra of Parabosons, establish…
Graded structure and Hopf structures in parabosonic algebra. An alternative approach to bosonisation
K. Kanakoglou, C. Daskaloyannis
Parabosonic algebra in infinite degrees of freedom is presented as a generalization of the bosonic algebra, from the viewpoints of both physics and mathematics. The notion of super…
Bosonisation and Parastatistics: An Example and an Alternative Approach
K. Kanakoglou, C. Daskaloyannis
Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation t…