A primer on noncommutative classical dynamics on velocity phase space and Souriau formalism

DOI10.1007/978-3-031-39334-1_12MaRDI QIDQ6608588

J. F. Cariñena, Partha Guha, Héctor Figueroa

Publication date: 20 September 2024

zbMATH Keywords

Poisson manifoldsnoncommutativitygeneralized Hamiltonian dynamicsSchouten-Nijenhuis bracketFeynman-Dyson's methodKostant-Kirillov two formSouriau form

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Poisson manifolds; Poisson groupoids and algebroids (53D17) Noncommutative geometry in quantum theory (81R60)

Cites Work

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• Noncommutative principal bundles through twist deformation
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• Poisson brackets and the Feynman problem
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• Casimir effect in Snyder space
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• Hamiltonian reduction of unconstrained and constrained systems
• A gravity theory on noncommutative spaces
• Chern-Simons field theory on Non-Commutative Plane
• The Euler–Lagrange Cohomology and General Volume-Preserving Systems
• Quantized Space-Time
• The Electromagnetic Field in Quantized Space-Time
• Jacobi multipliers and Hamel’s formalism
• The exotic Galilei group and the ``Peierls substitution.
• Anyon spin and the exotic central extension of the planar Galilei group

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