Eur. Phys. J. C 19, 583-586
q-deformed supersymmetric Newton oscillatorsA. Algin1, 2 and M. Arik3, 2
1 Physics Department, Osmangazi University, Meselik, Eskisehir, Turkey
2 Feza Gürsey Institute, P.O. Box 6, 81220, Çengelköy, Istanbul, Turkey
3 Physics Department, Bogaziçi University, Bebek, Istanbul, Turkey
(Received: 8 January 2001 / Published online: 23 March 2001 -© Springer-Verlag 2001)
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 It is shown that the bilinears constructed from the annihilation and creation operators of this deformed superoscillator algebra satisfy (q1,q2)-deformed commutation relations which can be used to define a deformed Lie superalgebra whose Lie super subalgebra is undeformed.
© Società Italiana di Fisica, Springer-Verlag 2001