The question is as follows: Suppose that, in a particular oscillator, the angular frequency w is so large that its kinetic energy is comparable to mc2. Obtain the relativistic expression for the energy, En of the state of quantum number n. I don't know how to begin solving this question. I know the expressions for the energy states of a quantum harmonic oscillator, and relativistic mechanics. How do I combine the two together? Do I simply append the expression for rest-mass energy, E=m0c2 to the expression for the energy of the quantum harmonic oscillator, En= (n + 1/2) (hw/2pi) ?