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most citedClassical and Quantum Mechanics of Free \k Relativistic Systems

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

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Showing 2010Show all

7 papers · 1 filter

hep-th2010

From Quantum Deformations of Relativistic Symmetries to Modified Kinematics and Dynamics

Jerzy Lukierski

We present a short review describing the use of noncommutative space-time in quantum-deformed dynamical theories: classical and quantum mechanics as well as classical and quantum f…

hep-th2010★ 77 cited

Generalized cosmological term from Maxwell symmetries

Jose A. de Azcarraga, Kiyoshi Kamimura, Jerzy Lukierski

By gauging the Maxwell spacetime algebra the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six fourvector fields A_μ^{ab}(x…

hep-th2010★ 4 cited

D=4 Extended Galilei Superalgebras with Central Charges

Jerzy Lukierski

We perform a nonrelativistic contraction of N-extended Poincare superalgebra with internal symmetry U(N) and general set of N(N-1) real central charges. We show that for even N=2k…

hep-th2010★ 2 cited

Generalized Wigner-Inonu Contractions and Maxwell (Super)Algebras

Jerzy Lukierski

We consider a class of generalized Inonu-Wigner contraction for semidirect product of two particularly related semisimple Lie (super)algebras. The special class of such contraction…

hep-th2010★ 40 cited

Deformations of Maxwell Superalgebras and Their Applications

Sotirios Bonanos, Joaquim Gomis, Kiyoshi Kamimura +1

We describe the Lie algebra deformations of D=4 Maxwell superalgebra that was recently introduced as the symmetry algebra of a kappa-symmetric massless superparticle in a supersymm…

hep-th2010★ 1 cited

From quantum deformations of relativistic symmetries to modified kinematics and dynamics

Jerzy Lukierski

Starting from noncommutative generalization of Minkowski space we consider quantum deformed relativistic symmetries which lead to the modification of kinematics of special relativi…