GENERATING OF ADDITIONAL FORCE TERMS IN NEWTON EQUATION BY TWIST-DEFORMED HOPF ALGEBRAS AND CLASSICAL SYMMETRIES

DOI10.1142/S0219887812610038zbMath1277.81068arXiv1208.0718MaRDI QIDQ3164759

Marcin Daszkiewicz

Publication date: 16 October 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0718

zbMATH Keywords

Newton equationdoubly enlarged Newton-Hooke transformations of classical spacetwisted acceleration-enlarged Newton-Hooke space-times

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras and their applications (16T05)

Related Items (2)

Variational problem for Hamiltonian system on so(k, m) Lie–Poisson manifold and dynamics of semiclassical spin ⋮ EQUIVALENT FORCES IN NEWTON EQUATION FROM TWIST DEFORMATIONS AND NON-INERTIAL COORDINATE FRAMES

Cites Work

• On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
• New Lie-algebraic and quadratic deformations of Minkowski space from twisted Poincaré symmetries
• Classical mechanics on noncommutative space with Lie-algebraic structure
• DSR relativistic particle in a Lagrangian formulation and non-commutative spacetime: a gauge independent analysis
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• \(q\)-deformed Poincaré algebra
• Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
• NEWTON'S EQUATION ON THE κ-SPACETIME AND THE KEPLER PROBLEM
• CANONICAL, LIE-ALGEBRAIC AND QUADRATIC TWIST DEFORMATIONS OF GALILEI GROUP
• CANONICAL AND LIE-ALGEBRAIC TWIST DEFORMATIONS OF GALILEI ALGEBRA
• Twisted classical Poincare algebras

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