Volume 85, Number 4, February 2009
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||09 March 2009|
Dynamics of dipoles and quantum phases in noncommutative coordinates
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: firstname.lastname@example.org
Accepted: 9 February 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.
PACS: 11.10.Nx – Noncommutative field theory / 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Sq – Semiclassical theories and applications
© EPLA, 2009
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