Abstract
A quantization method (strictly generalizing the Kostant-Souriau theory) is defined, which may be applied in some cases where both Kostant-Souriau prequantum bundles and metaplectic structures do not exist. It coincides with the Czyz theory for compact Kähler manifolds with locally constant scalar curvature. Quantization of dynamical variables is defined without use of intertwining operators, extending either the Kostant map or some ordering rule like that of Weyl or Born-Jordan.
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Hess, H. (1981). On a geometric quantization scheme generalizing those of Kostant-Souriau and Czyz. In: Doebner, HD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Physics, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10578-6_19
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DOI: https://doi.org/10.1007/3-540-10578-6_19
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