For the quantum-mechanical version, energy eigenfunctions are proportional to Hermite polynomials and the ground state energy is one-half h-bar times the angular frequency.  
For the quantum-mechanical version, energy eigenfunctions are proportional to Hermite polynomials and the ground state energy is one-half h-bar times the angular frequency.  The classical version is simply a system with a restoring force obeying Hooke's law.  Examples of what object, for ten points, include a mass on a spring and a small-amplitude pendulum.
For the quantum-mechanical version, energy eigenfunctions are proportional to Hermite polynomials and the ground state energy is one-half h-bar times the angular frequency.  
simple harmonic oscillator