The canonical connection in quantum mechanics
High Energy Physics - Theory
2009-10-28 v1
Abstract
In this paper we investigate the form of induced gauge fields that arises in two types of quantum systems. In the first we consider quantum mechanics on coset spaces G/H, and argue that G-invariance is central to the emergence of the H-connection as induced gauge fields in the different quantum sectors. We then demonstrate why the same connection, now giving rise to the non-abelian generalization of Berry's phase, can also be found in systems which have slow variables taking values in such a coset space.
Cite
@article{arxiv.hep-th/9504116,
title = {The canonical connection in quantum mechanics},
author = {Peter Levay and David McMullan and Izumi Tsutsui},
journal= {arXiv preprint arXiv:hep-th/9504116},
year = {2009}
}
Comments
19 pages, plain TeX