The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group

Altintas A. A., Arik M., Arikan A. S.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.8, sa.5, ss.819-824, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.2478/s11534-009-0168-8
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.819-824
  • Anahtar Kelimeler: bosonic Newton oscillator, quantum groups, DIFFERENTIAL-CALCULUS, DEFORMATION, ALGEBRAS
  • İstanbul Üniversitesi Adresli: Hayır

Özet

We obtain the inhomogeneous invariance quantum group for the multi-dimensional q-deformed bosonic Newton oscillator algebra. The homogenous part of this quantum group is given by the multiparameter quantum group GL(X;qij) (n) Schirrmacher where q(ij)'s take some special values. We find the R-matrix which gives the non-commuting structure of the quantum group for the two dimensional case.