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arXiv · q-alg/9609023

q-deformed Star Products and Moyal Brackets

O. F. Dayi
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Abstract

The standard and anti-standard ordered operators acting on two-dimensional q-deformed phase space are shown to satisfy algebras which can be called W_\infty. q-star products and q-Moyal brackets corresponding to these algebras are constructed. Some applications like defining q-classical mechanics and q-path integrals are discussed.

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O. F. Dayi. 1997-02-20. q-deformed Star Products and Moyal Brackets. https://doi.org/10.1063/1.532321

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