Displaying similar documents to “Mathematical foundations of geometric quantization.”
Geometric quantization and no-go theorems
Viktor Ginzburg, Richard Montgomery (2000)
Banach Center Publications
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A geometric quantization of a Kähler manifold, viewed as a symplectic manifold, depends on the complex structure compatible with the symplectic form. The quantizations form a vector bundle over the space of such complex structures. Having a canonical quantization would amount to finding a natural (projectively) flat connection on this vector bundle. We prove that for a broad class of manifolds, including symplectic homogeneous spaces (e.g., the sphere), such connection does not exist....
Geometric quantization of the MIC-Kepler problem via extension of the phase space
Ivailo M. Mladenov (1989)
Annales de l'I.H.P. Physique théorique
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Geometry of the Kepler system in coherent states approach
Maciej Horowski, Anatol Odzijewicz (1993)
Annales de l'I.H.P. Physique théorique
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Quantum structures in Galilei general relativity
Raffaele Vitolo (1999)
Annales de l'I.H.P. Physique théorique
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Bihamiltonian systems in the quantum-classical transition
Marmo, G., Simoni, A., Ventriglia, F.
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