Classical tensors from quantum states

P. Aniello, G. Marmo, G. F. Volkert

Published 2008-07-14, updated 2008-07-16Version 2

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.