Europhys. Lett.
Volume 76, Number 3, November 2006
Page(s) 395 - 401
Section The physics of elementary particles and fields
Published online 11 October 2006
Europhys. Lett., 76 (3), pp. 395-401 (2006)
DOI: 10.1209/epl/i2006-10299-9

Noncommutative geometry and geometric phases

B. 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.

© EDP Sciences 2006