Covariant geometric quantization of nonrelativistic time-dependent mechanics

DOI10.1063/1.1412597zbMath1059.81095arXivdg-ga/9702020OpenAlexW1713568821MaRDI QIDQ4830662

Luigi Mangiarotti, Giovanni Giachetta, Gennadi A. Sardanashvily

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9702020

Mathematics Subject Classification ID

Hamilton's equations (70H05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (7)

Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds ⋮ Geometric quantization of mechanical systems with time-dependent parameters ⋮ Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over \(\mathbb R\) ⋮ Quantum mechanics with respect to different reference frames ⋮ Lifted tensors and Hamilton-Jacobi separability ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS ⋮ Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Cites Work

• Geometric quantization of presymplectic manifolds
• On the geometric quantization of the symplectic leaves of Poisson manifolds
• On the quantization of presymplectic dynamical systems via coisotropic imbeddings
• Constraints in Hamiltonian time-dependent mechanics
• Classical and quantum mechanics with time-dependent parameters
• Constraints, reduction, and quantization
• On the geometric quantization of Poisson manifolds
• Hamiltonian time-dependent mechanics
• Covariant Hamilton equations for field theory

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