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arxiv: quant-ph/0605025 · v1 · submitted 2006-05-02 · 🪐 quant-ph

Remarks on quantization of Pais-Uhlenbeck oscillators

classification 🪐 quant-ph
keywords oscillatoroscillatorspais-uhlenbeckquantizationanisotropicconcerneddimensionalequivalent
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This work is concerned with a quantization of the Pais-Uhlenbeck oscillators from the point of view of their multi-Hamiltonian structures. It is shown that the 2n-th order oscillator with a simple spectrum is equivalent to the usual anisotropic n - dimensional oscillator.

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