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Cubic Matrix, Nambu Mechanics and Beyond
Author(s) -
Yoshiharu Kawamura
Publication year - 2003
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.109.153
Subject(s) - generalization , physics , matrix (chemical analysis) , analytical mechanics , supersymmetric quantum mechanics , classical mechanics , statistical mechanics , quantum statistical mechanics , quantum mechanics , mathematical physics , mathematics , mathematical analysis , quantum , materials science , composite material
We propose a generalization of cubic matrix mechanics by introducing acanonical triplet and study its relation to Nambu mechanics. The generalizedcubic matrix mechanics we consider can be interpreted as a 'quantum'generalization of Nambu mechanics.Comment: Latex, 22pages, revised versio

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