Coherent states, transition amplitudes and embeddings
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.dg-ga/9707026,
title = {Coherent states, transition amplitudes and embeddings},
author = {S. Berceanu},
journal= {arXiv preprint arXiv:dg-ga/9707026},
year = {2008}
}
Comments
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, Bia\l owie\.{z}a, Poland, 9-15 july 1995.