Differential operators on orbits of coherent states
Differential Geometry
2007-05-23 v1
Abstract
We emphasize some properties of coherent state groups, i.e. groups whose quotient with the stationary groups, are manifolds which admit a holomorphic embedding in a projective Hilbert space. We determine the differential action of the generators of the representation of coherent state groups on the symmetric Fock space attached to the dual of the Hilbert space of the representation. This permits a realization by first-order differential operators with holomorphic polynomial coefficients on K\"ahler coherent state orbits.
Cite
@article{arxiv.math/0211054,
title = {Differential operators on orbits of coherent states},
author = {S. Berceanu and A. Gheorghe},
journal= {arXiv preprint arXiv:math/0211054},
year = {2007}
}
Comments
10 pages. Submitted to the Proceedings of the First National Romanian Conference on Theoretical Physics, September 13-16, 2002, Magurele, Bucharest, Romania