Remarks on quantization of Pais-Uhlenbeck oscillators

Details Remarks on quantization of Pais-Uhlenbeck oscillators Remarks on quantization of Pais-Uhlenbeck oscillators

2006-05-02

arxiv.org/abs/quant-ph/0605025v1

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/39/33/017

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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