Aharonov-Bohm effect in a Class of Noncommutative Theories

Abstract

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 $\theta$.

10 pages

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• On the Landau system in noncommutative phase-space
• Graphene and non-Abelian quantization
• An Introduction to Noncommutative Physics
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• Klein-Gordon theory in noncommutative phase space
• Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
• Noncommutative Complex Scalar Field and Casimir Effect
• Microcausality of spin-induced noncommutative theories
• Spin Vector Potential and Spin Aharonov-Bohm Effect
• (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments
• Dynamics determines geometry
• Thermodynamics Properties of Confined Particles on Noncommutative Plane
• Vacuum Pair Creation in Spin Noncommutative of Coordinates: Volkov Background and Constant Electric Field