Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates
arXiv:0810.5468 · doi:10.1209/0295-5075/85/41002
Abstract
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 theta are derived comparing the deformed phases with the experimental data on the Aharonov-Bohm and Aharonov-Casher phases.
Some clarifications, a new bound on theta and references are added
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