The BRS method of geometric quantization: Some examples

DOI10.1007/BF02125699zbMath0699.58040WikidataQ125622161 ScholiaQ125622161MaRDI QIDQ913340

J. Elhadad, Gijs M. Tuynman, Christian Duval

Publication date: 1990

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

zbMATH Keywords

geometric quantization

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (14)

On the geometry of ghosts ⋮ Group averaging in the (p,q) oscillator representation of SL(2,R) ⋮ Symplectic reduction and Riemann-Roch formulas for multiplicities ⋮ Geometric quantization of the BRST charge ⋮ Generalized classical BRST cohomology and reduction of Poisson manifolds ⋮ Equivalence of extrinsic and intrinsic quantization for observables not preserving the vertical polarization ⋮ Schwinger terms from geometric quantization of field theories ⋮ QUANTIZATION OF SINGULAR REDUCTION ⋮ Quantization of first-class constraints with structure functions ⋮ Unnamed Item ⋮ Rieffel induction as generalized quantum Marsden-Weinstein reduction ⋮ On the quantization of reducible gauge systems ⋮ Quantization and bosonic BRST theory ⋮ On correspondence of BRST-BFV, Dirac, and refined algebraic quantizations of constrained systems

Cites Work

• Systèmes dynamiques contraints: l'approche homologique. (Constraint dynamical systems: homological approach)
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• BRST cohomology in classical mechanics
• Geometric quantization and quantum mechanics
• Reduction of symplectic manifolds with symmetry
• Hyperfine interaction in a classical hydrogen atom and geometric quantization
• The extended phase space of the BRS approach
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• Constraints, reduction, and quantization
• Constrained Poisson algebras and strong homotopy representations
• A Nonunitary Pairing of Polarizations for the Kepler Problem
• Generalized Bergman kernels and geometric quantization
• Regularization of kepler's problem and the averaging method on a manifold
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