31. He compared the structure of the helium atom with the classical system of resonating coupled harmonic oscillators . 32. These relations can be used to easily find all the energy eigenstates of the quantum harmonic oscillator . 33. The simplest such state is the ground state | 0 \ rangle of the quantum harmonic oscillator . 34. A cold trapped atom can be treated to a good approximation as a quantum mechanical harmonic oscillator . 35. The quantum bus is often implemented as a microwave cavity, modeled by a quantum harmonic oscillator . 36. So there are 3N quantum harmonic oscillators ( hereafter SHOs for " Simple Harmonic Oscillators " ). 37. So there are 3N quantum harmonic oscillators ( hereafter SHOs for " Simple Harmonic Oscillators " ). 38. Consequently, the harmonic oscillator 's period of oscillation may depend on its amplitude of oscillation. 39. The linear response function for a harmonic oscillator is mathematically identical to that of an RLC circuit. 40. Such an oscillator, when quantized, is described by the mathematics of a quantum harmonic oscillator .