Classical and quantum Nambu mechanics

Thomas Curtright, Cosmas Zachos

Research output: Contribution to journalArticle

83 Citations (Scopus)

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 - Particles, Fields, Gravitation and Cosmology
Volume68
Issue number8
DOIs
StatePublished - 2003

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Hilbert space
quantum theory
Quantum Mechanics
quantum mechanics
sectors
Quantum Theory
Mechanics
Quantization
Sector
Time Scales
Invariant
Presentation
Interpretation
Standards

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Classical and quantum Nambu mechanics. / Curtright, Thomas; Zachos, Cosmas.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 68, No. 8, 085001, 2003.

Research output: Contribution to journalArticle

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