In this paper, we classify all the variational discrete-time systems in quasi-standard form in N degrees of freedom admitting coalgebra symmetry with respect to the generic realisation of the Lie–Poisson algebra ${{\mathfrak{sl}}}_{2}({\mathbb{R}})$. This approach naturally yields several quasi-maximally and maximally superintegrable discrete-time systems, both known and new. We conjecture that this exhausts the (super)integrable cases associated with this algebraic construction.
The sl2(R) coalgebra symmetry and the superintegrable discrete-time systems / G. Gubbiotti, D. Latini. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - 98:4(2023 Apr), pp. 1-25. [10.1088/1402-4896/acbbb2]
The sl2(R) coalgebra symmetry and the superintegrable discrete-time systems
G. Gubbiotti
Primo
;
2023
Abstract
In this paper, we classify all the variational discrete-time systems in quasi-standard form in N degrees of freedom admitting coalgebra symmetry with respect to the generic realisation of the Lie–Poisson algebra ${{\mathfrak{sl}}}_{2}({\mathbb{R}})$. This approach naturally yields several quasi-maximally and maximally superintegrable discrete-time systems, both known and new. We conjecture that this exhausts the (super)integrable cases associated with this algebraic construction.File | Dimensione | Formato | |
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