The Jacobi group and the squeezed states - some comments
Differential Geometry
2015-05-14 v1 Mathematical Physics
math.MP
Representation Theory
Optics
Abstract
The generalized coherent states attached to the Jacobi group realize the squeezed states. Imposing hermitian conjugacy to the generators of the Jacobi algebra, we find out the form of the weight function appearing in the scalar product. We show effectively the orthonormality of the base functions with respect to the scalar product. From the explicit form of the reproducing kernel, we find out the expression of the multiplier in a holomorphic representation of the Jacobi group.
Cite
@article{arxiv.0910.5563,
title = {The Jacobi group and the squeezed states - some comments},
author = {Stefan Berceanu},
journal= {arXiv preprint arXiv:0910.5563},
year = {2015}
}
Comments
9 pages, to appear in AIP Conference Proceedings, Geometric Methods In Physics, Bialowieza (Poland), June 28 -July 4 2008, Editor(s): P. Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier, Th. Voronov