On the geometric quantization of Jacobi manifolds

DOI10.1063/1.532207zbMath0898.58024OpenAlexW1975725556MaRDI QIDQ4384774

Edith Padrón, Manuel de León, Juan Carlos Marrero

Publication date: 26 April 1998

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

Full work available at URL: http://hdl.handle.net/10261/21023

zbMATH Keywords

geometric quantizationJacobi manifoldsprequantization bundles

Mathematics Subject Classification ID

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

Related Items (13)

Classification of infinitesimal symmetries in covariant classical mechanics ⋮ Quantum potential in covariant quantum mechanics ⋮ Integration of conformal Jacobi fibrations and prequantization of Poisson fibrations ⋮ Graded contact manifolds and contact Courant algebroids ⋮ Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems ⋮ On the geometric quantization of contact manifolds ⋮ On the geometric quantization of twisted Poisson manifolds ⋮ Generalized Lie bialgebroids and Jacobi structures ⋮ Contact structure with basic potentials ⋮ Jacobi structures in R3 ⋮ On the computation of the Lichnerowicz--Jacobi cohomology. ⋮ A geometric approach to the generalized Noether theorem ⋮ On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory

Cites Work

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• Prequantizable Poisson manifolds and Jacobi structures
• Symplectic groupoids and Poisson manifolds

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