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dc.contributor.authorLukierski, Jerzy
dc.contributor.authorMeljanac, Stjepan
dc.contributor.authorMignemi, Salvatore
dc.contributor.authorPachol, Anna
dc.date.accessioned2023-06-05T11:37:52Z
dc.date.available2023-06-05T11:37:52Z
dc.date.created2023-02-03T08:13:21Z
dc.date.issued2023
dc.identifier.citationLukierski, J., Meljanac, S., Mignemi, S. & Pachoł, A. (2023). Generalized quantum phase spaces for the κ-deformed extended Snyder model. Physics Letters B, 838, Artikkel 137709.en_US
dc.identifier.issn0370-2693
dc.identifier.urihttps://hdl.handle.net/11250/3069928
dc.description.abstractWe 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 of the algebra contain a parameter λ, which is used for the calculations of perturbative expansions. For such κ-deformed extended Snyder models we consider the Heisenberg double with dual generalized momenta sector, and provide the respective generalized quantum phase space depending on three parameters mentioned above. Further, we study for these models an alternative Heisenberg double, with the algebra of functions on de Sitter group. In both cases we calculate the formulae for the cross commutation relations between generalized coordinate and momenta sectors, at linear order in λ. We demonstrate that in the commutators of quantum space-time coordinates and momenta of the quantum-deformed Heisenberg algebra the terms generated by κ-deformation are dominating over β-dependent ones for small values of λ.en_US
dc.language.isoengen_US
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0370269323000436
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.subjectTeoretisk fysikken_US
dc.subjectTheoretical physicsen_US
dc.titleGeneralized quantum phase spaces for the κ-deformed extended Snyder modelen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.rights.holder© 2023 The Author(s).en_US
dc.subject.nsiVDP::Fysikk: 430en_US
dc.subject.nsiVDP::Physics: 430en_US
dc.source.volume838en_US
dc.source.journalPhysics Letters Ben_US
dc.identifier.doihttps://doi.org/10.1016/j.physletb.2023.137709
dc.identifier.cristin2122600
dc.source.articlenumber137709en_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.fulltextoriginal
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