3 citations · 5 across the 5 of their papers we have counts for
6 papers
The Dunkl two-photon/Schrödinger algebras and their applications
Francisco J. Herranz, Danilo Latini
The work introduces the novel Dunkl two-photon and Dunkl-Schrödinger algebras as reflection-extended counterparts of the standard six-dimensional two-photon and Schrödinger algebra…
Haantjes algebras, Zernike system and separation of variables
Ondřej Kubů, Danilo Latini
The generalized Zernike family is a parametric family of two-dimensional superintegrable Hamiltonians, admitting…
Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
We determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the di…
A novel chain of Lie algebras and its coalgebra symmetry
Giorgio Gubbiotti, Danilo Latini, Bert van Geemen
We study a novel -dimensional non-semisimple Lie algebra , a generalisation of both and the two-photon Lie algebra $\mathfra…
An infinite family of Dunkl type superintegrable curved Hamiltonians through coalgebra symmetry: Oscillator and Kepler-Coulomb models
Francisco J. Herranz, Danilo Latini
This work aims to bridge the gap between Dunkl superintegrable systems and the coalgebra symmetry approach to superintegrability, and subsequently to recover known models and const…
Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillators
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
We present a detailed study of a parametric Lie algebra encompassing the symmetry algebras of various models, both continuous and discrete. This algebraic structure characterizes t…