Hermitian realizations of kappa-Minkowski spacetime

Abstract

General realizations, star products and plane waves for kappa-Minkowski spacetime are considered. Systematic construction of general hermitian realization is presented, with special emphasis on noncommutative plane waves and hermitian star product. Few examples are elaborated and possible physical applications are mentioned.

25 pages preprint, two tables, no figures, LaTeX2e class file

References in corpus (13)

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Cited by in corpus (13)

• Noncommutative Spaces and Poincaré Symmetry
• Quantum field theory in generalised Snyder spaces
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Realizations of $\kappa$-Minkowski space, Drinfeld twists and related symmetry algebras
• Snyder-type spaces, twisted Poincaré algebra and addition of momenta
• Vector-like deformations of relativistic quantum phase-space and relativistic kinematics
• Observables in Quantum Mechanics and the Importance of Self-adjointness
• Involutive representations of coordinate algebras and quantum spaces
• Interpolations between Jordanian Twists Induced by Coboundary Twists
• Vacuum energy from noncommutative models
• The Weyl realizations of Lie algebras and left-right duality
• Twist for Snyder space
• Maxwell's equations and Lorentz force in doubly special relativity