Classical and Quantal Ternary Algebras

Details Classical and Quantal Ternary Algebras Classical and Quantal Ternary Algebras

2009-03-30

arxiv.org/abs/0903.4889v2

Phys.Lett.B675:387-392, 2009

Physics

High Energy Physics

High Energy Physics - Theory

Additional references

Scientific paper

10.1016/j.physletb.2009.04.019

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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