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Particles and Fields

Eur. Phys. J. C 19, 583-586
DOI: 10.1007/s100520100620

q-deformed supersymmetric Newton oscillators

A. 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 $U(n\mid m).$ 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 $osp_{q_1,q_2}(2n\mid 2m,R)$ whose Lie super subalgebra $
u(n\mid m) $ is undeformed.

© Società Italiana di Fisica, Springer-Verlag 2001