Classical and Quantum Nambu Mechanics

Details Classical and Quantum Nambu Mechanics Classical and Quantum Nambu Mechanics

2002-12-20

arxiv.org/abs/hep-th/0212267v3

Phys.Rev.D68:085001,2003

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 1 figure, 1 table Minor changes to conform to journal version

Scientific paper

10.1103/PhysRevD.68.085001

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-Abelian approach to quantum Nambu mechanics is shown to be fully consistent.

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