Poisson structure on a space with linear SU(2) fuzziness

DOI10.1063/1.3166143zbMath1342.81210arXiv0806.1808OpenAlexW3100082136MaRDI QIDQ3069149

Amir H. Fatollahi, Ahmad Shariati, Mohammad Khorrami

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1808

zbMATH Keywords

harmonic oscillatorsangular momentumLie algebrasclassical mechanicsSU(2) theory

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items

Eigenvalue problem for radial potentials in space with SU(2) fuzziness ⋮ DIRAC THEORY ON A SPACE WITH LINEAR LIE TYPE FUZZINESS ⋮ GAUGE THEORY ON A SPACE WITH LINEAR LIE TYPE FUZZINESS ⋮ Quantum mechanics on space with \(SU(2)\) fuzziness ⋮ Central force problem in space with \(\mathrm{SU}(2)\) Poisson structure ⋮ Closedness of orbits in a space with SU(2) Poisson structure

Cites Work

• Loop diagrams in space with \(SU(2)\) fuzziness
• Emergent gravity, matrix models and UV/IR mixing
• The energy-momentum of a Poisson structure
• Field theory amplitudes in a space with \(SU(2)\) fuzziness
• Mixed boundary conditions and brane-string bound states
• D-branes and the noncommutative torus
• String theory and noncommutative geometry
• Noncommutative field theories and gravity
• The Dirac operator on the fuzzy sphere
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• Quantum field theory on the noncommutative plane with Eq(2) symmetry
• The fuzzy sphere
• Noncommutative geometry of angular momentum space U(su(2))
• ON THE CORRESPONDENCE BETWEEN NONCOMMUTATIVE FIELD THEORY AND GRAVITY
• Quantum field theory on noncommutative spaces