Geometric quantization of mechanical systems with time-dependent parameters

DOI10.1063/1.1477262zbMath1059.53072arXivquant-ph/0112011OpenAlexW2129431462MaRDI QIDQ4832636

Giovanni Giachetta, Luigi Mangiarotti, 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/quant-ph/0112011

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (4)

Bi-Hamiltonian partially integrable systems ⋮ A global version of Günther's polysymplectic formalism using vertical projections ⋮ Quantum mechanics with respect to different reference frames ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

Cites Work

• Lemme de Moser feuilleté et classification des variétés de Poisson régulières. (Foliated version of Moser's lemma and classification of regular Poisson manifolds)
• On the geometric quantization of the symplectic leaves of Poisson manifolds
• Holonomic quantum computation
• Constraints in Hamiltonian time-dependent mechanics
• Note on coherent states and adiabatic connections, curvatures
• Classical and quantum mechanics with time-dependent parameters
• QUANTUM HOLONOMIES FOR QUANTUM COMPUTING
• On the geometric quantization of Poisson manifolds
• Hamiltonian time-dependent mechanics
• The relation between the Berry and the Anandan–Aharonov connections for U(𝒩) bundles
• Covariant geometric quantization of nonrelativistic time-dependent mechanics

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