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On the dynamics of noncanonically coupled oscillators and its hidden superstructure

Denis V. Juriev
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Abstract

The classical and quantum dynamics of the noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic oscillators, the quantum one is well--defined in the harmonic case, admits a hidden (super)Hamiltonian formulation, and thus, preserves the initial operator relations, whereas a na\"ıve quantization of the anharmonic case meets with principal difficulties.

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Denis V. Juriev. 1996-04-04. On the dynamics of noncanonically coupled oscillators and its hidden superstructure. https://arxiv.org/abs/solv-int/9503003

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