Classical tensors from quantum states
Mathematical Physics
2008-07-16 v2 math.MP
Abstract
The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute these tensors in particular for manifolds admitting a Lie-group structure.
Cite
@article{arxiv.0807.2161,
title = {Classical tensors from quantum states},
author = {P. Aniello and G. Marmo and G. F. Volkert},
journal= {arXiv preprint arXiv:0807.2161},
year = {2008}
}
Comments
20 pages, submitted to Int. J. Geom. Meth. Modern Physics