Coherent States, the Two-Sphere and G/H Spaces
摘要
As examples of geometric quantization, we consider coherent states in flat space, on the two-sphere and on the complex projective space. These are treated using local coordinates, homogeneous coordinates and a group-theoretic formulation. Quantization of Kähler spaces of the G/H-type is also considered. We also outline the use of index theorems to calculate the dimension of the Hilbert space.