The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group
CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.8, sa.5, ss.819-824, 2010 (SCI-Expanded, Scopus)
- 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.