Supercovariant systems of q-oscillators and q-supersymmetric hamiltonians

We construct the q-superoscillator algebra of n bosonic and m fermionic q-oscillators covariant under the coactions of the quantum supergroup SUq(n/m). the SUq(n/m)-invariant form bilinear in q-superoscillator variables describes the q-deformation of the hamiltonian for the supersymmetric oscillator in quantum mechanics. It is shown that such a hamiltonian is also invariant under the action of the Uq(U(n/m) superalgebra, generated by the bilinears constructed from the q-superoscillators. The simplest case n=m=1 is considered in detail. The formulae relating the supercovariant q-oscillators with the independent ones are given. (orig.)