q-deformed star products and Moyal brackets


Dayi O.

JOURNAL OF MATHEMATICAL PHYSICS, vol.39, no.1, pp.489-496, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 1
  • Publication Date: 1998
  • Doi Number: 10.1063/1.532321
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS
  • Page Numbers: pp.489-496

Abstract

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-infinity. 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. (C) 1998 American Institute of Physics.