Remarks on quantization of Pais-Uhlenbeck oscillators

نویسندگان

  • E. V. Damaskinsky
  • M. A. Sokolov
چکیده

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. 1. This work is concerned with a quantization of the Pais-Uhlenbeck oscillators from the point of view of their multi-Hamiltonian structures. The family of such oscillators was introduced in the paper [1] as a toy model to study field theories with higher derivative terms. Evolution of the Pais-Uhlenbeck 2n-th order oscillator is defined by the following equation

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تاریخ انتشار 2006