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The canonical connection in quantum mechanics

Peter Levay·David McMullan·Izumi Tsutsui
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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.

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Peter Levay, David McMullan, Izumi Tsutsui. 1995-04-24. The canonical connection in quantum mechanics. https://doi.org/10.1063/1.531432

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