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math-phJun 1, 2023
authors
  • Tea Martinić Bilać
  • Stjepan Meljanac
institutions
  • Ruđer Bošković Institute
  • University of Split
arXiv abstractPDF
paper

Realizations of the Extended Snyder Model

arXiv:2306.10609 · doi:10.3842/SIGMA.2023.065

Abstract

We present the exact realization of the extended Snyder model. Using similarity transformations, we construct realizations of the original Snyder and the extended Snyder models. Finally, we present the exact new realization of the κ-deformed extended Snyder model.

References in corpus (14)

  • Covariant realizations of kappa-deformed space
  • Scalar field theory in Snyder space-time: alternatives
  • Yang's Model as Triply Special Relativity and the Snyder's Model--de Sitter Special Relativity Duality
  • Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
  • Snyder dynamics in a Schwarzschild spacetime
  • Symmetries of Snyder--de Sitter space and relativistic particle dynamics
  • Heisenberg doubles for Snyder type models
  • Generalizations of Snyder model to curved spaces
  • Unification of κ-Minkowski and extended Snyder spaces
  • Noncommutative Yang model and its generalizations
  • Associative realizations of κ-deformed extended Snyder model
  • Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
  • Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
  • Generalized quantum phase spaces for the κ-deformed extended Snyder model
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