  The q-deformed harmonic oscillator is studied in the light of q-deformed
phase space variables. This allows a formulation of the corresponding
Hamiltonian in terms of the ordinary canonical variables $x$ and $p$. The
spectrum shows unexpected features such as degeneracy and an additional part
that cannot be reached from the ground state by creation operators. The
eigenfunctions show lattice structure, as expected.

High Energy Physics - Theory;Quantum Algebra;Quantum Algebra