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Classical and Quantal Ternary Algebras
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Classical and Quantal Ternary Algebras
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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.
Forward citations
Cited by 1 Pith paper
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Dynamics of the Density Cube
Derives an equation of motion for the density cube from ternary Nambu quantization, yielding oscillation between pairs of triple-path interferences.
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