From the 4 of 97 papers with an AI index.
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- Centre National de la Recherche ScientifiqueFR48 papers
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5 papers · 1 filter
Generalised spin Calogero-Moser systems from Cherednik algebras
Misha Feigin, Mikhail Vasilev, Martin Vrabec
Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 199…
Quantum two-dimensional superintegrable systems in flat space: exact-solvability, hidden algebra, polynomial algebra of integrals
Alexander V Turbiner, Juan Carlos Lopez Vieyra, Pavel Winternitz
In this short review paper the detailed analysis of six two-dimensional quantum {\it superintegrable} systems in flat space is presented. It includes the Smorodinsky-Winternitz pot…
Inhomogeneous SSH models and the doubling of orthogonal polynomials
Nicolas Crampé, Quentin Labriet, Lucia Morey +2
We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of th…
Fluctuation Theorem and Thermodynamic Formalism
Noé Cuneo, Vojkan JakÅ¡iÄ, Claude-Alain Pillet +1
We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuou…
On Riemann wave superpositions obtained from the Euler system
Åukasz Chomienia, Alfred Michel Grundland
The paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions. A review of r…