Classical and quantum Nambu mechanics

@article{Curtright2003ClassicalAQ,
  title={Classical and quantum Nambu mechanics},
  author={Thomas L. Curtright and C. Zachos},
  journal={Physical Review D},
  year={2003},
  volume={68},
  pages={085001}
}
The classical and quantum features of Nambu mechanics are analyzed and fundamental issues are resolved. The classical theory is reviewed and developed utilizing varied examples. The quantum theory is discussed in a parallel presentation, and illustrated with detailed specific cases. Quantization is carried out with standard Hilbert space methods. With the proper physical interpretation, obtained by allowing for different time scales on different invariant sectors of a theory, the resulting non… Expand
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