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Generalization of Geometry-Induced Gauge Structure to Any Dimensional Manifold
1993
Progress of theoretical physics
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575 We investigate a particle motion quantum·mechanically in the neighbourhood of n-dimensional curved manifold M n embedded in a p-dimensional Euclidean space RP. The effective Hamiltonian on M n has a gauge structure determined by geometry of Mn, generally non-Abelian. This gives a generalization of the geometry-induced Aharonov-Bohm effect in the case M ' CR3.
doi:10.1143/ptp/89.2.575
fatcat:g7cv3otrbnbpvc2f7bxje7jy2i