q-deformed supersymmetric Newton oscillators

Authors
Citation
A. Algin et M. Arik, q-deformed supersymmetric Newton oscillators, EUR PHY J C, 19(3), 2001, pp. 583-586
Citations number
34
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
19
Issue
3
Year of publication
2001
Pages
583 - 586
Database
ISI
SICI code
1434-6044(200103)19:3<583:QSNO>2.0.ZU;2-X
Abstract
WE construct a two-parameter deformed superoscillator algebra of n-bosonic and m-fermionic q-deformed Newton oscillators. These deformed oscillators a re invariant under tile undeformed Lie supergroup U(n / m). It is shown tha t the bilinears constructed from the annihilation and creation operators of this deformed superoscillator algebra satisfy (q(1), q(2))-deformed commut ation 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.