Aharonov-Bohm effect in a Class of Noncommutative Theories (045002)

ASHOK DAS; H. FALOMIR; M. NIETO; J. GAMBOA; F. MENDEZ

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2011 vol. 84 p. 1 - 8

1550-7998

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 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 $\theta$.