158 citations · 3.1k across the 137 of their papers we have counts for
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hep-th2002★ 84 cited
Harmonic oscillator with minimal length uncertainty relations and ladder operators
Ivan Dadic, Larisa Jonke, Stjepan Meljanac
We construct creation and annihilation operators for harmonic oscillators with minimal length uncertainty relations. We discuss a possible generalization to a large class of deform…
hep-th2002★ 49 cited
Representations of noncommutative quantum mechanics and symmetries
Larisa Jonke, Stjepan Meljanac
We present a unified approach to representations of quantum mechanics on noncommutative spaces with general constant commutators of phase-space variables. We find two phases and du…
hep-th2002★ 6 cited
Algebra of the observables in the Calogero model and in the Chern-Simons matrix model
L. Jonke, S. Meljanac
The algebra of observables of an N-body Calogero model is represented on the S_N-symmetric subspace of the positive definite Fock space. We discuss some general properties of the a…