Dynamics of dipoles and quantum phases in noncommutative coordinatesÖ. F. Dayi1, 2
1 Physics Department, Faculty of Science and Letters, Istanbul Technical University TR-34469 Maslak-Istanbul, Turkey
2 Feza Gürsey Institute - P.O. Box 6, TR-34684, Çengelköy-Istanbul, Turkey
received 4 November 2008; accepted in final form 9 February 2009; published February 2009
published online 9 March 2009
The dynamics of a spin-(1/2) neutral particle possessing electric- and magnetic-dipole moments interacting with external electric and magnetic fields in noncommutative coordinates is obtained. Noncommutativity of space is interposed in terms of a semiclassical constrained Hamiltonian system. The relation between the quantum phase acquired by a particle interacting with an electromagnetic field and the (semi)classical force acting on the system is examined and generalized to establish a formulation of the quantum phases in noncommutative coordinates. The general formalism is applied to physical systems yielding the Aharonov-Bohm, Aharonov-Casher, He-McKellar-Wilkens and Anandan phases in noncommutative coordinates. Bounds for the noncommutativity parameter are derived comparing the deformed phases with the experimental data on the Aharonov-Bohm and Aharonov-Casher phases.
11.10.Nx - Noncommutative field theory.
03.65.Vf - Phases: geometric; dynamic or topological.
03.65.Sq - Semiclassical theories and applications.
© EPLA 2009