Lorentz-covariant deformed algebra with minimal length

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dc.creatorQuesne, C.
dc.creatorTkachuk, V. M.
dc.date2006-12-12
dc.date.accessioned2026-07-07T11:24:12Z
dc.date.available2026-07-07T11:24:12Z
dc.descriptionThe $D$-dimensional two-parameter deformed algebra with minimal length introduced by Kempf is generalized to a Lorentz-covariant algebra describing a ($D+1$)-dimensional quantized space-time. For D=3, it includes Snyder algebra as a special case. The deformed Poincaré transformations leaving the algebra invariant are identified. Uncertainty relations are studied. In the case of D=1 and one nonvanishing parameter, the bound-state energy spectrum and wavefunctions of the Dirac oscillator are exactly obtained.
dc.description8 pages, no figure, presented at XV International Colloquium on Integrable Systems and Quantum Symmetries (ISQS-15), Prague, June 15-17, 2006
dc.identifierhttps://arxiv.org/abs/quant-ph/0612093
dc.identifierhttp://arxiv.org/abs/quant-ph/0612093
dc.identifierCzech.J.Phys.56:1269-1274,2006
dc.identifierdoi:10.1007/s10582-006-0436-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195151
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleLorentz-covariant deformed algebra with minimal length
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