On the noncommutative Aharonov-Bohm effects
Jian Jing, Ling-Bao Kong, Qing Wang, Shi‐Hai Dong
Abstract
We revisit time-independent and time-dependent Aharonov-Bohm effects in the noncommutative space-time by investigating a relativistic spin-half particle in the background of a long-thin magnetic-flux-carried solenoid. Our results show that, up to the first order of the noncommutative parameter, there are no noncommutative corrections on the AB effects for both cases.
Topics & Concepts
Noncommutative geometryPhysicsNoncommutative quantum field theoryAharonov–Bohm effectFlux (metallurgy)SolenoidQuantum electrodynamicsSpin (aerodynamics)Quantum differential calculusOrder (exchange)Noncommutative algebraic geometryMagnetic fluxQuantum mechanicsMathematical physicsMagnetic fieldMaterials scienceFinanceMetallurgyThermodynamicsEconomicsNoncommutative and Quantum Gravity TheoriesQuantum Mechanics and Non-Hermitian PhysicsBlack Holes and Theoretical Physics