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Noncommutative Differential Forms on the kappa-deformed Space
Stjepan Meljanac, Sasa Kresic-Juric
We construct a differential algebra of forms on the kappa-deformed space. For a given realization of the noncommutative coordinates as formal power series in the Weyl algebra we fi…
Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
Marco Valerio Battisti, Stjepan Meljanac
We show that the Euclidean Snyder non-commutative space implies infinitely many different physical predictions. The distinct frameworks are specified by generalized uncertainty rel…
Waves and Solitons in the Calogero Model - Revisited
V. Bardek, J. Feinberg, S. Meljanac
The Calogero model bears, in the continuum limit, collective excitations in the form of density waves and solitary modulations of the density of particles. This sector of the spect…
Inequivalent quantization of the rational Calogero model with a Coulomb type interaction
B. Basu-Mallick, Kumar S. Gupta, S. Meljanac +1
We consider the inequivalent quantizations of a -body rational Calogero model with a Coulomb type interaction. It is shown that for certain range of the coupling constants, this…
Generalized kappa-deformed spaces, star-products, and their realizations
S. Meljanac, S. Kresic-Juric
In this work we investigate generalized kappa-deformed spaces. We develop a systematic method for constructing realizations of noncommutative (NC) coordinates as formal power serie…
Twisted Statistics in kappa-Minkowski Spacetime
T. R. Govindarajan, Kumar S. Gupta, E. Harikumar +2
We consider the issue of statistics for identical particles or fields in kappa-deformed spaces, where the system admits a symmetry group G. We obtain the twisted flip operator comp…