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On the Electromagnetic Interactions of Anyons

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arxiv hep-th/9301037 v1 pith:5XTWMBBV submitted 1993-01-11 hep-th cond-mat

classification hep-thcond-mat
keywords anyonschargedelectromagneticinteractionsanyonappropriateaspectscoupling
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Using the appropriate representation of the Poincare group and a definition of minimal coupling, we discuss some aspects of the electromagnetic interactions of charged anyons. In a nonrelativistic expansion, we derive a Schrodinger-type equation for the anyon wave function which includes spin-magnetic field and spin-orbit couplings. In particular, the gyromagnetic ratio for charged anyons is shown to be 2; this last result is essentially a reflection of the fact that the spin is parallel to the momentum in (2+1) dimensions.

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Cited by 3 Pith papers

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    hep-th 2026-07 conditional novelty 6.0 of 10

    In teleparallel Mielke–Baekler (AdS) spacetimes, spinning particle actions split into regular and critical sectors; the critical massive sector obeys a Papapetrou-like spin-curvature equation, and massless conformal N...

  2. Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator

    quant-ph 2026-05 unverdicted novelty 5.5 of 10

    Spin-induced deformation in the Bateman dual oscillator framework yields non-Markovian reduced dynamics with persistent oscillations and fractal scaling that mimic time crystals in a globally unitary quantum system.

  3. Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Spin-induced noncommutativity in the Bateman oscillator yields discrete scaling covariance in amplified and damped modes, producing self-similar evolution and history-dependent non-Markovian reduced dynamics.

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