From the 1 of 5 linked papers with an AI index.
5 papers
Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
The paper analyzes the symmetry algebras of the N‑body Calogero‑Moser system and its discrete‑time maximally superintegrable version, showing that the discretization induces a nont…
Haantjes algebras, Zernike system and separation of variables
OndÅej Kubů, Danilo Latini
The generalized Zernike family is a parametric family of two-dimensional superintegrable Hamiltonians, admittin…
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…