Aspects of Classical and Quantum Nambu Mechanics
Rupak Chatterjee, Leon Takhtajan (SUNY at Stony Brook)
TL;DR
This paper discusses recent advances in Nambu mechanics, highlighting new examples of Nambu-Poisson manifolds and novel representations of Nambu-Heisenberg relations, contributing to the understanding of classical and quantum Nambu systems.
Contribution
Introduces new examples of Nambu-Poisson manifolds and representations of Nambu-Heisenberg relations, expanding the theoretical framework of Nambu mechanics.
Findings
New Nambu-Poisson manifolds with linear brackets
Novel representations of Nambu-Heisenberg relations
Enhanced understanding of classical and quantum Nambu structures
Abstract
We present recent developments in the theory of Nambu mechanics, which include new examples of Nambu-Poisson manifolds with linear Nambu brackets and new representations of Nambu-Heisenberg commutation relations.
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