An invariant analytic orthonormalization procedure with an application to coherent states
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We discuss a general strategy which produces an orthonormal set of vectors, stable under the action of a given set of unitary operators , , starting from a fixed normalized vector in and from a set of unitary operators. We discuss several examples of this procedure and, in particular, we show how a set of {\em coherent-like} vectors can be produced and in which condition over the lattice spacing this can be done.
Keywords
Cite
@article{arxiv.0904.0882,
title = {An invariant analytic orthonormalization procedure with an application to coherent states},
author = {F. Bagarello and S. Triolo},
journal= {arXiv preprint arXiv:0904.0882},
year = {2009}
}