On a geometric quantization scheme generalizing those of Kostant-Souriau and Czyz

  • Harald Hess
1. Quantization Methods and Special Quantum Systems
Part of the Lecture Notes in Physics book series (LNP, volume 139)


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.


Line Bundle Cohomology Class Chern Class Geometric Quantization Holomorphic Sectional Curvature 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Harald Hess
    • 1
  1. 1.Freie Universität BerlinBerlin 33

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