Coordinate noncommutativity in strong non-uniform magnetic fields

Abstract

Noncommuting spatial coordinates are studied in the context of a charged particle moving in a strong non-uniform magnetic field. We derive a relation involving the commutators of the coordinates, which generalizes the one realized in a strong constant magnetic field. As an application, we discuss the noncommutativity in the magnetic field present in a magnetic mirror.

4 pages

References in corpus (5)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Physical Instances of Noncommuting Coordinates
• Observations on noncommuting coordinates and on fields depending on them
• Kontsevich product and gauge invariance

Cited by in corpus (6)

• Complex magnetic monopoles, geometric phases and quantum evolution in vicinity of diabolic and exceptional points
• Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
• Noncommuting spherical coordinates
• Noncommutative Spherically Symmetric Spaces
• Infinite-dimensional representations of the rotation group and Dirac's monopole problem
• Noncommuting Coordinates and Magnetic Monopoles