Particle dynamics on Snyder space

DOI10.1016/J.NUCLPHYSB.2012.02.012zbMath1246.81082arXiv1110.4112OpenAlexW2093311580MaRDI QIDQ447340

J. Herrera, D. Rodríguez-Gómez

Publication date: 3 September 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4112

zbMATH Keywords

Hamiltonian formalismnoncommutative geometryparticle dynamicsPoincaré groupSnyder algebra

Mathematics Subject Classification ID

Hamilton's equations (70H05) Noncommutative geometry in quantum theory (81R60) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (18)

Deformed quantum phase spaces, realizations, star products and twists ⋮ Symmetric ordering and Weyl realizations for quantum Minkowski spaces ⋮ Casimir effect in Snyder space ⋮ Quantum field theory in generalised Snyder spaces ⋮ Dynamics of a Dirac fermion in the presence of spin noncommutativity ⋮ Classical dynamics on Snyder spacetime ⋮ Quantum mechanics on a curved Snyder space ⋮ A Poincaré covariant noncommutative spacetime ⋮ Revisiting quantum mechanics on non-commutative space-time ⋮ Snyder-type space–times, twisted Poincaré algebra and addition of momenta ⋮ Covariant dynamics on the momentum space ⋮ Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle ⋮ Supersymmetric extension of the Snyder algebra ⋮ Snyder space revisited ⋮ Snyder-de Sitter Meets the Grosse-Wulkenhaar Model ⋮ Particle dynamics and Lie-algebraic type of non-commutativity of space-time ⋮ Plasma oscillations in a generalized Snyder space ⋮ High temperature dimensional reduction in Snyder space

Cites Work

• Unnamed Item
• Relativistic particles on quantum space-time
• Scalar field theory in Snyder space-time: alternatives
• Snyder space revisited
• Noncommutativity and reparametrization symmetry
• HOPF-ALGEBRA DESCRIPTION OF NONCOMMUTATIVE-SPACE–TIME SYMMETRIES
• A dynamical model for the origin of Snyder's quantized spacetime algebra
• Classical and quantum mechanics of the nonrelativistic Snyder model in curved space
• Quantized Space-Time

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