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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 387-392 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 675 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - May 18 2009 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Curtright, T., Fairlie, D., Jin, X., Mezincescu, L., & Zachos, C. (2009). Classical and quantal ternary algebras. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 675(3-4), 387-392. https://doi.org/10.1016/j.physletb.2009.04.019