Coherent states, transition amplitudes and embeddings
Abstract
Description
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.
8 pages, Latex2e, ams fonts, to appear in "Quantization, Coherent States and Poisson Structures", Wydawnictwo Naukowe PWN (Warshaw), Edited by A. Strasburger, S. Twareque Ali, J.-P. Antoine and A. Odzijewicz, Proceedings of the XIV Workshop on Geometric Methods in Physics, Białowieża, Poland, 9-15 july 1995.
8 pages, Latex2e, ams fonts, to appear in "Quantization, Coherent States and Poisson Structures", Wydawnictwo Naukowe PWN (Warshaw), Edited by A. Strasburger, S. Twareque Ali, J.-P. Antoine and A. Odzijewicz, Proceedings of the XIV Workshop on Geometric Methods in Physics, Białowieża, Poland, 9-15 july 1995.