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q-deformed dynamics of q-deformed oscillators

Jose Luis Gruver
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Abstract

We show that an infinite set of q-deformed relevant operators close a partial q-deformed Lie algebra under commutation with the Arik-Coon oscillator. The dynamics is described by the multicommutator: [H,..., [H, O]...], that follows a power law which leads to a dynamical scaling. We study the dynamics of the Arik-Coon and anharmonic oscillators and analyze the role of q and the other parameters in the evolution of both systems.

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Jose Luis Gruver. 1999-04-19. q-deformed dynamics of q-deformed oscillators. https://doi.org/10.1016/s0375-9601(99)00127-9

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