Aharonov-Bohm effect in a Class of Noncommutative Theories

Details Aharonov-Bohm effect in a Class of Noncommutative Theories Aharonov-Bohm effect in a Class of Noncommutative Theories

2011-05-09

arxiv.org/abs/1105.1800v1

Phys.Rev.D84:045002,2011

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1103/PhysRevD.84.045002

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\"odinger-Pauli equation is separable through successive unitary transformations and the exact solution is found. The scattering amplitude is calculated and compared with the usual case. In the noncommutative Aharonov-Bohm case the differential cross section is independent of $\theta$.

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