The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra

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

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.49, sa.3, ss.633-643, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s10773-009-0243-3
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.633-643
  • Anahtar Kelimeler: Quantum groups, Two parameter deformed boson algebra, DIFFERENTIAL-CALCULUS, OSCILLATOR ALGEBRA, GROUP SUQ(2), Q-ANALOG, DEFORMATION
  • İstanbul Üniversitesi Adresli: Hayır

Özet

We consider two parameter deformed boson algebra and investigate the inhomogeneous invariance quantum group of this system. We find the R-matrix which collects all information about the non-commuting structure of the quantum group. We extend our study to the d-dimensional case.