Spin-induced Bateman dual-oscillator dynamics yields non-Markovian reduced-subsystem oscillations claimed as time-crystal-like order without external drive, plus fractal scaling.
On the Electromagnetic Interactions of Anyons
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abstract
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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2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator
Spin-induced Bateman dual-oscillator dynamics yields non-Markovian reduced-subsystem oscillations claimed as time-crystal-like order without external drive, plus fractal scaling.
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Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator
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.