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Suppose that, in a particular oscillator, the angular frequency w is so large that its kinetic energy is comparable to mc

^{2}. Obtain the relativistic expression for the energy, E

_{n}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=m

_{0}c

^{2}to the expression for the energy of the quantum harmonic oscillator, E

_{n}= (n + 1/2) (hw/2pi) ?