output
20022021
most citedGrassmann extensions of Yang-Baxter maps

36 citations

7 papers

quant-ph2021★ 15 cited

Nonclassical Attack on a Quantum KeyDistribution System

Anton Pljonkin, Dmitry Petrov, Lilia Sabantina +1

The article is focused on research of an attack on the quantum key distribution system and proposes a countermeasure method. Particularly noteworthy is that this is not a classic a…

nlin.SI2016★ 26 cited

A noncommutative discrete potential KdV lift

Sotiris Konstantinou-Rizos, Theodoros E. Kouloukas

In this paper, we construct a Grassmann extension of a Yang-Baxter map which first appeared in [16] and can be considered as a lift of the discrete potential Korteweg-de Vries (dpK…

nlin.SI2016★ 16 cited

Anticommutative extension of the Adler map

Sotiris Konstantinou-Rizos, Alexander V. Mikhailov

We construct a noncommutative (Grassmann) extension of the well known Adler Yang-Baxter map. It satisfies the Yang-Baxter equation, it is reversible and birational. Our extension p…

nlin.SI2015★ 36 cited

Grassmann extensions of Yang-Baxter maps

Georgi G. Grahovski, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov

In this paper we show that there are explicit Yang-Baxter maps with Darboux-Lax representation between Grassmann extensions of algebraic varieties. Motivated by some recent results…

nlin.SI2015★ 33 cited

Reduction groups and related integrable difference systems of NLS type

S. Konstantinou-Rizos, A. V. Mikhailov, P. Xenitidis

We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinger type equations. We consider all possible finite reduction groups and construct…

nucl-th2004

Compton Scattering off Nucleons: Focus on the Nucleonic Low-Energy Degrees of Freedom

Harald W. Griesshammer

In this sketch, I focus on Physics and formalism behind dynamical polarisabilities, a new tool to test and interpret quantitative predictions about the low-energy degrees of freedo…