q -deformed star products and Moyal brackets

Ömer F. Dayi · Journal of Mathematical Physics · 1998

The standard and antistandard ordered operators acting on two-dimensional q-deformed phase space are shown to satisfy algebras which can be called q−W∞. 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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