1995/04/24 by Péter Lévay, Peter Levay, David McMullan +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.1063/1.531432
published as J.Math.Phys. 37 (1996) 625-636 · 19 pages, plain TeX
arxiv created 1995/04/24 · openalex publication_date 1996/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 that have slow variables taking values in such a coset space.