SU(d)-invariant multidimensional q-oscillators with bosonic degeneracy

Multidimensional two-parameter (q(1),q(2))-oscillators are of two kinds: on e is invariant under the (ordinary) Lie group SU(d), whereas the other is i nvariant under the quantum group SUq(d) where q = q(1)/q(2). It is shown th at the q(1) = q(2) limit of both of these two-parameter oscillators coincid e and give the q-deformed Newton oscillator which can be derived from the s tandard quantum harmonic oscillator Newton equation. The bosonic degeneraci es of the excited levels of these oscillators are different for q(1) not eq ual q(2), but coincide in the q(1) = q(2) limit.