q-deformed supersymmetric Newton oscillators


Algin A., Arik M.

EUROPEAN PHYSICAL JOURNAL C, cilt.19, sa.3, ss.583-586, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 3
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1007/s100520100620
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.583-586
  • Eskişehir Osmangazi Üniversitesi Adresli: Hayır

Özet

WE construct a two-parameter deformed superoscillator algebra of n-bosonic and m-fermionic q-deformed Newton oscillators. These deformed oscillators are invariant under the undeformed Lie supergroup U(n / m). It is shown that the bilinears constructed from the annihilation and creation operators of this deformed superoscillator algebra satisfy (q(1), q(2))-deformed commutation relations which can be used to define a deformed Lie superalgebra os(q1,q2) (2n / 2m, R) whose Lie super subalgebra u(n / m) is undeformed.