Physical instances of noncommuting coordinates

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Physical Instances of Noncommuting Coordinates

Noncommuting spatial coordinates and fields can be realized in actual physical situations. Plane wave solutions to noncommuting photodynamics exhibit violaton of Lorentz invariance (special relativity). Feza Gursey Institute, Istanbul, Turkey – June 2001 “Symmetry Methods in Physics”, Yerevan, Armenia – July 2001 “CPT and Lorentz Symmetry II”, Bloomington, IN – August 2001 “Particles and String...

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Noncommuting Coordinates in the Landau problem

Basic ideas about noncommuting coordinates are summarized, and then coordinate noncommutativity, as it arises in the Landau problem, is investigated. I review a quantum solution to the Landau problem, and evaluate the coordinate commutator in a truncated state space of Landau levels. Restriction to the lowest Landau level reproduces the well known commutator of planar coordinates. Inclusion of ...

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Noncommuting coordinates in the Hall effect and in vortex dynamics

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ژورنال

عنوان ژورنال: Nuclear Physics B - Proceedings Supplements

سال: 2002

ISSN: 0920-5632

DOI: 10.1016/s0920-5632(02)01302-6