Group theoretical construction of planar noncommutative phase spaces

DOI10.1063/1.4862843zbMath1320.81072arXiv1308.3065OpenAlexW3099417430MaRDI QIDQ5414746

Joachim Nzotungicimpaye, Leonard Todjihounde, Ancille Ngendakumana

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1308.3065

zbMATH Keywords

Lie groupssymplectic methodsnoncommutative phase spacesNewton-Hooke groups

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60) Geometric quantization (53D50)

Related Items (3)

Sturm-Liouville and Carroll: at the heart of the memory effect ⋮ Planar Carrollean dynamics, and the Carroll quantum equation ⋮ Carroll symmetry of plane gravitational waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative phase spaces by coadjoint orbits method
• Conformal mechanics in Newton-Hooke spacetime
• The noncommutative Landau problem
• Geometric spinoptics and the optical Hall effect
• Galilei-Newton law by symplectic realizations
• Newton's second law in a non-commutative space
• Clifford algebras and possible kinematics
• PARA-GALILEAN VERSUS GALILEAN NONCOMMUTATIVE PHASE SPACES
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• Transitive symplectic manifolds in 1+2 dimensions
• Possible Kinematics
• Quantization and unitary representations
• Galilei Group and Nonrelativistic Quantum Mechanics
• On the Contraction of Groups and Their Representations
• The exotic Galilei group and the ``Peierls substitution.

This page was built for publication: Group theoretical construction of planar noncommutative phase spaces