Tensor coordinates in noncommutative mechanics

DOI10.1063/1.3119005zbMath1187.81168arXiv0804.4405OpenAlexW3103525900MaRDI QIDQ3565251

Ricardo Amorim

Publication date: 3 June 2010

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

Full work available at URL: https://arxiv.org/abs/0804.4405

zbMATH Keywords

tensorsclassical mechanicsquantisation (quantum theory)SO groups

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Hamiltonian and Lagrangian mechanics (70H99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Noncommutative quantum scattering in a central field
• On general properties of Lorentz-invariant formulation of noncommutative quantum field theory
• Representations of non-commutative quantum mechanics and symmetries
• D-branes and the noncommutative torus
• String theory and noncommutative geometry
• Phases in noncommutative quantum mechanics on (pseudo)sphere
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• The quantum structure of spacetime of the Planck scale and quantum fields
• Tensor Operators in Noncommutative Quantum Mechanics
• Fermions and noncommutative theories
• UV divergence-free QFT on noncommutative plane
• Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory
• ASPECTS OF NONCOMMUTATIVE LORENTZIAN GEOMETRY FOR GLOBALLY HYPERBOLIC SPACETIMES
• Spectrum of the non-commutative spherical well
• Foundations of Quantum Mechanics
• Quantized Space-Time
• Quantum field theory on noncommutative spaces
• Super Yang-Mills theory on noncommutative torus from open strings interactions.
• Quantum mechanics on the noncommutative plane and sphere