2019/01/16 by Marcin Daszkiewicz · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Angular momentum #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Conservation of energy #Consistency (knowledge bases) #Energy–momentum relation #Geometry #Hopf algebra #Lie algebra #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Quantum #Quantum mechanics #Star product #Twist #hep-th
paper · pdf · doi:10.1142/s021773231950024x
published as Mod.Phys.Lett. A34 (2019) 1950024 · Latex source, 11 pages
arxiv created 2019/01/16 · openalex publication_date 2019/01/16 · arxiv updated 2019/01/17 · openalex created_date 2019/01/25 · openalex updated_date 2026/08/05
In this paper, we discuss the energy–momentum conservation principle for two-particle system in the case of canonically and Lie-algebraically twist-deformed Galilei Hopf algebra. Particularly, we provide consistency with the coproducts energy and momentum addition law as well as its symmetric with respect to the exchange of particles counterpart. Besides, we show that the vanishing of total four momentum for two Lie-algebraically deformed kinematical models leads to the discrete values of energies and momenta only in the case of the symmetrized addition rules.