Coherent states, transition amplitudes and embeddings

Details Coherent states, transition amplitudes and embeddings Coherent states, transition amplitudes and embeddings

1997-07-31

arxiv.org/abs/dg-ga/9707026v1

Mathematics

Differential Geometry

8 pages, Latex2e, ams fonts, to appear in "Quantization, Coherent States and Poisson Structures", Wydawnictwo Naukowe PWN (War

Scientific paper

The transition amplitudes between coherent states on a coherent state
manifold are expressed in terms of the embedding of the coherent state manifold
into a projective Hilbert space. Consequences for the dimension of projective
Hilbert space and a simple geometric interpretation of Calabi's diastasis
follows.

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