q-deformed Star Products and Moyal Brackets

Details q-deformed Star Products and Moyal Brackets q-deformed Star Products and Moyal Brackets

1996-09-20

arxiv.org/abs/q-alg/9609023v3

J.Math.Phys. 39 (1998) 489

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex, minor changes and refs. added

Scientific paper

10.1063/1.532321

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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