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arXiv · 0810.5468

Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates

Omer F. Dayi
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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.

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Omer F. Dayi. 2009-03-09. Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates. https://doi.org/10.1209/0295-5075/85/41002

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