A VARIATIONAL FORMULATION OF SYMPLECTIC NONCOMMUTATIVE MECHANICS
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Publication:3503078
DOI10.1142/S0219887807002296zbMath1142.70007arXivhep-th/0703205MaRDI QIDQ3503078
J. Antonio García, Ignacio Cortese
Publication date: 20 May 2008
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0703205
Variational methods for problems in mechanics (70G75) Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
Cites Work
- Unnamed Item
- Classical and quantum systems: alternative Hamiltonian descriptions
- Equations of motion, noncommutativity and quantization
- Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
- Feynman’s proof of the Maxwell equations
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- No Lagrangian? No quantization!
- Feynman problem in the noncommutative case
- Loop quantum gravity: an outside view
- NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES
- Quantized Space-Time
- Noncommutative geometry and gravity
- On the inverse problem of the calculus of variations
- The exotic Galilei group and the ``Peierls substitution.
- Quantum mechanics on the noncommutative plane and sphere
