Cubic Matrix, Nambu Mechanics and Beyond

2002/07/31 by Yoshiharu Kawamura, Y. Kawamura · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Quantum and Classical Electrodynamics #hep-ph #hep-th #quant-ph

paper · pdf · doi:10.1143/ptp.109.153

published as Prog.Theor.Phys. 109 (2003) 153-168 · Latex, 22pages, revised version

openalex publication_date 2003/02/01 · arxiv created 2003/04/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose a generalization of cubic matrix mechanics by introducing a canonical triplet and study its relation to Nambu mechanics. The generalized cubic matrix mechanics we consider can be interpreted as a “quantum” generalization of Nambu mechanics.

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