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19912023
most citedClassical and Quantum Mechanics of Free \k Relativistic Systems

444 citations · 3.1k across the 111 of their papers we have counts for

collaborators

112 papers

hep-th2023

-perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking

Jerzy Lukierski, Anna Pachoł

We introduce the perturbative -power series ( = Planck constant) providing the algebraic solutions of quantum Snyder and Yang models which describe relativistic…

hep-th2022★ 11 cited

Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking

Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +1

We propose -expansions as perturbative solutions of quantum extended Snyder and Yang models, with -independent classical zero-th order terms responsible for the spont…

hep-th2022★ 8 cited

Generalized quantum phase spaces for the -deformed extended Snyder model

Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +1

We describe, in an algebraic way, the -deformed extended Snyder models, that depend on three parameters and , which in a suitable algebra basis are described by the de…

hep-th2022★ 2 cited

Noncommutative spaces and superspaces from Snyder and Yang type models

Jerzy Lukierski, Mariusz Woronowicz

The relativistic Snyder model is formulated in terms of algebra generators, with noncommutative Lorentz-invariant Snyder quantum space-time provided by $\…

hep-th2021★ 1 cited

Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces

Jerzy Lukierski, Mariusz Woronowicz

The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant qu…

hep-th2021

Palatial Twistors from Quantum Inhomogeneous Conformal Symmetries and Twistorial DSR Algebras

Jerzy Lukierski

We construct recently introduced palatial NC twistors by considering the pair of conjugated (Born-dual) twist-deformed quantum inhomegeneous conformal Hopf algebras $\mathcal…