Phys. Rev. D 68, 085001 (2003) [29 pages]Classical and quantum Nambu mechanicsReceived 26 December 2002; published 6 October 2003 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-Abelian approach to quantum Nambu mechanics is shown to be fully consistent. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.085001
DOI:
10.1103/PhysRevD.68.085001
PACS:
02.30.Ik, 11.25.Yb, 11.30.Rd
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