$q$-deformed supersymmetric Newton oscillators

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 \((q_1,q_2)\)-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.