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19912026
most citedPeres-Horodecki separability criterion for continuous variable systems

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math-ph2026

Exact solution for a periodically driven magnetic multilayer system

P. I. Naumkin, A. V. Nikolaev, L. L. Tao +1

Periodic driving serves as an effective method for controlling the properties of physical systems. Called "Floquet engineering," it is a broad field of theoretical and experimental…

math-ph2025

Smooth sets of fields: A pedagogical introduction

Alberto Ibort, Arnau Mas

In order to provide a good categorical setting to the many different spaces of fields arising in the description of physical theories, a pedagogical introduction to the categorical…

math-ph2025

Stäckel and Eisenhart lifts, Haantjes geometry and Gravitation

Ondřej Kubů, Piergiulio Tempesta

We study lifts of integrable systems by means of generalized Stäckel geometry. To this end, we present the notion of Stäckel lift as a unified setting for the construction of new c…

math-ph2025★ 2 cited

Complex rational Ruijsenaars model. The two-particle case

N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov

We consider a complex rational degeneration of the hyperbolic Ruijsenaars model emerging in the limit (or in CFT) and investigate in detail the tw…

math-ph2025★ 1 cited

On the construction of polynomial Poisson algebras: a novel grading approach

Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2

In this work, we refine recent results on the explicit construction of polynomial algebras associated with commutants of subalgebras in enveloping algebras of Lie algebras by consi…

math-ph2025★ 3 cited

Scalar products and norm of Bethe vectors in invariant integrable models

A. Liashyk, S. Pakuliak, E. Ragoucy

We compute scalar products of off-shell Bethe vectors in models with symmetry. The scalar products are expressed as a sum over partitions of the Bethe parameter sets, th…