English

q-deformed Star Products and Moyal Brackets

q-alg 2009-10-30 v3 High Energy Physics - Theory Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9609023,
  title  = {q-deformed Star Products and Moyal Brackets},
  author = {O. F. Dayi},
  journal= {arXiv preprint arXiv:q-alg/9609023},
  year   = {2009}
}

Comments

12 pages, latex, minor changes and refs. added

R2 v1 2026-07-22T19:21:27.762Z