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arXiv · 0903.4889

Classical and Quantal Ternary Algebras

Thomas Curtright·David Fairlie·Xiang Jin·Luca Mezincescu·Cosmas Zachos
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Abstract

We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with their classical counterparts, as realized through classical Nambu brackets. In some cases involving infinite algebras, we show the classical limit may be obtained by a contraction of the quantal algebra, and then explicitly realized through classical brackets. We illustrate this classical-contraction method by the Virasoro-Witt example.

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Thomas Curtright, David Fairlie, Xiang Jin, Luca Mezincescu, Cosmas Zachos. 2009-05-25. Classical and Quantal Ternary Algebras. https://doi.org/10.1016/j.physletb.2009.04.019

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