Reductions and quantization

DOI10.1007/BF00669347zbMath0701.58027MaRDI QIDQ914217

Ivaïlo M. Mladenov

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

geometric quantizationMarsden-Weinstein reductionMIC-Kepler problem

Mathematics Subject Classification ID

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

Cites Work

• On the reduced phase space of a cotangent bundle
• Remarks on the geometric quantization of the Kepler problem
• Geometric quantization of the multidimensional Kepler problem
• Conformal regularization of the Kepler problem
• Geometric quantization and quantum mechanics
• Convexity properties of the moment mapping
• Reduction of symplectic manifolds with symmetry
• The Kepler problem spinor regularization and pre-quantization of the negative-energy manifold
• The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
• Constraints, reduction, and quantization
• On the geometric quantisation of constrained systems
• Geometric quantisation of the MIC-Kepler problem
• Monopole scattering spectrum from geometric quantisation
• Regularization of kepler's problem and the averaging method on a manifold
• Quantization and unitary representations
• On the regularization of the Kepler problem
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