Noncommutative geometry and geometric phasesB. Basu1, S. Dhar2 and S. Ghosh1
1 PAMU, Indian Statistical Institute - Kolkata-700108, India
2 S. A. Jaipuria College - Kolkata-700005, India
received 10 April 2006; accepted in final form 18 September 2006
published online 11 October 2006
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. The physical significance of our results is also discussed.
14.80.Hv - Magnetic monopoles.
11.10.Nx - Noncommutative field theory.
03.65.-w - Quantum mechanics.
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