Classical and quantum Nambu mechanics

Thomas Curtright, Cosmas Zachos

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number085001
JournalPhysical Review D
Volume68
Issue number8
DOIs
StatePublished - 2003

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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