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arXiv · 1105.1800

Aharonov-Bohm effect in a Class of Noncommutative Theories

A. Das·H. Falomir·J. Gamboa·F. Mendez·M. Nieto
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Abstract

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $θ$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schrödinger-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 $θ$.

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A. Das, H. Falomir, J. Gamboa, F. Mendez, M. Nieto. 2011-05-09. Aharonov-Bohm effect in a Class of Noncommutative Theories. https://doi.org/10.1103/physrevd.84.045002

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