The \(q\)-symplectic form on the quantum hyperplane and noncommutative Hamiltonian mechanics

DOI10.1007/BF02085761zbMath0865.58025OpenAlexW90490988MaRDI QIDQ2365461

Zai-Zhe Zhong

Publication date: 4 February 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02085761

zbMATH Keywords

quantum hyperplane\(q\)-curves\(q\)-fields\(q\)-sequences method\(q\)-symplectic formsnoncommutative Hamiltonian mechanical system

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• THE NONLINEAR STRUCTURE ON THE GENERAL QUANTUM HYPERPLANES: THE QUANTUM HYPERSURFACES AND THE NONLINEAR REALIZATIONS OF THE QUANTUM GROUPS
• q-trace and gauge invariants of the quantum group GL_q(2) gauge fields
• Noncommutative analysis, quantum group gauge transformations and gauge fields

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