Meljanac, Daniel; Meljanac, Stjepan; Mignemi, Salvatore; Štrajn, Rina (2019) Kappadeformed phase spaces, Jordanian twists, LorentzWeyl algebra and dispersion relations. Physical Review D, 99 . ISSN 24700010

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Abstract
We consider kappadeformed relativistic quantum phase space and possible implementations of the Lorentz algebra. There are two ways of performing such implementations. One is a simple extension where the Poincaré algebra is unaltered, while the other is a general extension where the Poincaré algebra is deformed. As an example we fix the Jordanian twist and the corresponding realization of noncommutative coordinates, coproduct of momenta, and addition of momenta. An extension with a oneparameter family of realizations of the Lorentz generators, dilatation and momenta closing the PoincaréWeyl algebra is considered. The corresponding physical interpretation depends on the way the Lorentz algebra is implemented in phase space. We show how the spectrum of the relativistic hydrogen atom depends on the realization of the generators of the PoincaréWeyl algebra.
Item Type:  Article 

Uncontrolled Keywords:  noncommutative geometry ; Jordanian twist ; algebra: Lorentz ; PoincareWeyl ; phase space ; dispersion relation 
Subjects:  NATURAL SCIENCES > Physics 
Divisions:  Division of Materials Physics Theoretical Physics Division 
Depositing User:  Daniel Meljanac 
Date Deposited:  23 Jul 2019 13:42 
Last Modified:  23 Jul 2019 13:42 
URI:  http://fulir.irb.hr/id/eprint/4913 
DOI:  10.1103/PhysRevD.99.126012 
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