q-deformed star products and Moyal brackets

Dayi O.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.39, sa.1, ss.489-496, 1998 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 1
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1063/1.532321
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.489-496
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.