q-deformed supersymmetric Newton oscillators

Algin A., Arik M.

EUROPEAN PHYSICAL JOURNAL C, vol.19, no.3, pp.583-586, 2001 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 3
  • Publication Date: 2001
  • Doi Number: 10.1007/s100520100620
  • Journal Name: EUROPEAN PHYSICAL JOURNAL C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.583-586
  • Eskisehir Osmangazi University Affiliated: No

Abstract

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.