So let us assume we have the following system. A harmonic oscillator consists of a mass 1g on a spring. Its frequency is 1 Hz and the masses passes through the equilibrium position with a velocity of 10cm/s. I have already calculated that the magnitude of the quantum number (n = 7.6 x 10^27) Now, what is meant by the average spacing between zeros of an eigenstate with such a quantum number? How would I calculate this, and what is this representing physically. Thanks to all who have given this a look.