Quantization of the Kepler manifold

DOI10.1007/BF01223241zbMath0656.58015MaRDI QIDQ1110149

Bruno Cordani

Publication date: 1987

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

zbMATH Keywords

pseudodifferential operatorsKepler problemcomplementary series representationsconformal Minkowski groupSourian-Kostant quantization

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric quantization (53D50)

Related Items (1)

On the geometric quantization of the ro-vibrational motion of homonuclear diatomic molecules

Cites Work

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• Geometric quantization of the multidimensional Kepler problem
• Conformal regularization of the Kepler problem
• Representations of some infinite-dimensional Lie groups
• On polarizations of certain homogeneous spaces
• Polarizations of certain homogeneous spaces and most continuous principal series
• Irreducible unitary representations of the Lorentz group
• On the dynamical symmetries of the Kepler problem
• Remark on Nilpotent Orbits
• 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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