Blar i USN Open Archive på forfatter "Lukierski, Jerzy"
-
Generalized quantum phase spaces for the κ-deformed extended Snyder model
Lukierski, Jerzy; Meljanac, Stjepan; Mignemi, Salvatore; Pachol, Anna (Peer reviewed; Journal article, 2023)We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β, κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1, N). The commutation relations ... -
Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
Lukierski, Jerzy; Meljanac, Stjepan; Mignemi, Salvatore; Pachol, Anna (Peer reviewed; Journal article, 2023)We propose ħ-expansions as perturbative solutions of quantum extended Snyder and Yang models, with ħ-independent classical zero-th order terms responsible for the spontaneous breaking D = 4 and D = 5 de Sitter symmetries. ... -
ℏ -perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking
Lukierski, Jerzy; Pachol, Anna (Peer reviewed; Journal article, 2023)We introduce the perturbative ℏ-power series (ℏ - Planck constant) providing the algebraic solutions of D=4 quantum Snyder and Yang models which describe relativistic quantum space-times and Lorentz-covariant quantum phase ...