Cubic Matrix, Nambu Mechanics and Beyond

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Yoshiharu, KAWAMURA ; Department of Physics, Shinshu University (2003)
  • Journal: Progress of theoretical physics = Progress of theoretical physics, volume 109, issue 2, pages 153-168 (issn: 0033068x)
  • Subject:
    arxiv: High Energy Physics::Phenomenology

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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