activity
19942021
most citedQuadratic Poisson algebras for two dimensional classical superintegrable systems and quadratic associative algebras for quantum superintegrable systems

156 citations · 433 across the 39 of their papers we have counts for

collaborators

40 papers

math.DG2021

New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation

Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis +1

We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{ä}ck…

math.DG2019

Beltrami equation for the harmonic diffeomorphisms between surfaces

Anestis Fotiadis, Costas Daskaloyannis

In this article it is shown that the study of harmonic diffeomorphisms, with nonvanishing Hopf differential, reduces to the study of the Beltrami equation of a certain type: the im…

math-ph2011★ 31 cited

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…

math-ph2009

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…

math-ph2009★ 6 cited

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…

math-ph2009★ 22 cited

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…