Aharonov-Bohm effect in a class of noncommutative theories
Aharonov-Bohm effect in a class of noncommutative theories
The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\ensuremath{\theta}$, 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 …