The canonical connection in quantum mechanics

Details The canonical connection in quantum mechanics The canonical connection in quantum mechanics

1995-04-24

arxiv.org/abs/hep-th/9504116v1

J.Math.Phys. 37 (1996) 625-636

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, plain TeX

Scientific paper

10.1063/1.531432

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.

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