Noncommutative Geometry and Geometric Phases

B. Basu, Subir Ghosh, S. Dhar

Published 2006-04-10, updated 2006-09-28Version 3

We have studied particle motion in generalized forms of noncommutative phase space, that simulate monopole and other forms of Berry curvature, that can be identified as effective internal magnetic fields, in coordinate and momentum space. The Ahranov-Bohm effect has been considered in this form of phase space, with operatorial structures of noncommutativity. Physical significance of our results are also discussed.