Dynamics of dipoles and quantum phases in noncommutative coordinates

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

Corresponding author: dayi@itu.edu.tr

Received: 4 November 2008
Accepted: 9 February 2009

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 are derived comparing the deformed phases with the experimental data on the Aharonov-Bohm and Aharonov-Casher phases.