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Mathematics

D-Index
35
Citations
4488
World Ranking
2802
National Ranking
2

Overview

Stjepan Meljanac is affiliated with the Institut Ruđer Bošković in Croatia. Their research primarily spans the fields of Physics and Astronomy as well as Mathematics, with a substantial focus on the subfields of Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Geometry and Topology, Mathematical Physics, and Astronomy and Astrophysics.

Themes central to Meljanac's work include Noncommutative and Quantum Gravity Theories, Black Holes and Theoretical Physics, Algebraic Structures and Combinatorial Models, Advanced Algebra and Geometry, Cosmology and Gravitation Theories, Quantum Mechanics and Non-Hermitian Physics, and Quantum Chromodynamics and Particle Interactions.

Meljanac has authored numerous papers, contributing extensively to several notable scientific journals and repositories. Their recent publications include:

  • "Associative realizations of the extended Snyder model", 2020, Physical review. D/Physical review. D.
  • "Generalizations of Snyder model to curved spaces", 2022, Physics Letters B
  • "Unification of κ-Minkowski and extended Snyder spaces", 2021, Physics Letters B
  • "Noncommutative Yang model and its generalizations", 2023, Journal of Mathematical Physics
  • "Associative realizations of κ-deformed extended Snyder model", 2021, Physical review. D/Physical review. D.

Frequent coauthors include:

  • S. Mignemi
  • J. Lukierski
  • Anna Pachoł
  • T. Martinić-Bilać
  • Rina Štrajn

Meljanac's work has appeared in a variety of publication venues, with substantial contributions to:

  • arXiv (Cornell University)
  • Physics Letters B
  • Journal of Mathematical Physics
  • Symmetry Integrability and Geometry Methods and Applications
  • International Journal of Modern Physics A

Best Publications

  • Kappa-Minkowski space-time and the star product realizations

    S. Meljanac;A. Samsarov;M. Stojic;K. S. Gupta

  • Twisted statistics in κ-Minkowski spacetime

    T. R. Govindarajan;Kumar S. Gupta;E. Harikumar;S. Meljanac

  • κ-Minkowski spacetime and the star product realizations

    S. Meljanac;A. Samsarov;M. Stojić;Kumar S. Gupta

  • New realizations of Lie algebra kappa-deformed Euclidean space

    Unknown

  • Scalar field theory on noncommutative Snyder spacetime

    Marco Valerio Battisti;Stjepan Meljanac

  • Covariant realizations of kappa-deformed space

    Unknown

  • Harmonic oscillator with minimal length uncertainty relations and ladder operators

    Ivan Dadić;Larisa Jonke;Stjepan Meljanac

  • Deformed oscillator algebras and QFT in κ-Minkowski spacetime

    T. R. Govindarajan;Kumar S. Gupta;E. Harikumar;S. Meljanac

  • Constraints on the quantum gravity scale from kappa - Minkowski spacetime

    A. Borowiec;Kumar S. Gupta;S. Meljanac;A. Pachol

  • Modification of Heisenberg uncertainty relations in noncommutative Snyder space-time geometry

    Marco Valerio Battisti;Stjepan Meljanac

  • Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance

    Stjepan Meljanac;Andjelo Samsarov

  • Geodesic equation in κ -Minkowski spacetime

    E. Harikumar;Tajron Jurić;Stjepan Meljanac

  • Electrodynamics on $κ$-Minkowski space-time

    E. Harikumar;Tajron Jurić;Stjepan Meljanac

  • Scalar field propagation in the phi^4 kappa-Minkowski model

    Stjepan Meljanac;Anđelo Samsarov;Josip Trampetić;Michael Wohlgenannt

  • κ-DEFORMED SNYDER SPACETIME

    S. Meljanac;D. Meljanac;A. Samsarov;M. Stojić

  • SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE

    Stjepan Meljanac;Andjelo Samsarov

  • Representations of non-commutative quantum mechanics and symmetries

    Larisa Jonke;Stjepan Meljanac

  • A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra

    Unknown

  • Twists, realizations and Hopf algebroid structure of kappa-deformed phase space

    Tajron Juric;Stjepan Meljanac;Rina Strajn

  • Constraints on the quantum gravity scale from κ-Minkowski spacetime

    A. Borowiec;Kumar S. Gupta;S. Meljanac;A. Pachoł

  • Kappa-deformed Snyder spacetime

    S. Meljanac;D. Meljanac;A. Samsarov;M. Stojic

  • Kappa-Minkowski spacetime, Kappa-Poincar'{e} Hopf algebra and realizations

    Domagoj Kovačević;Stjepan Meljanac

  • Electron capture and scaling anomaly in polar molecules

    Pulak Ranjan Giri;Kumar S. Gupta;S. Meljanac;A. Samsarov

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