Dirac came up with a clever method for solving the quantum version of this system, using raising and lowering operators.  Though their best-known applications may be for keeping time, any system with 
Dirac came up with a clever method for solving the quantum version of this system, using raising and lowering operators.  Though their best-known applications may be for keeping time, any system with a potential that is quadratic in displacement is one of these.  In fact, it can be shown that any system exhibiting small fluctuations about a stable equilibrium is one.  For ten points, identify this type of oscillator, the most common example of which is a mass and a spring.
Dirac came up with a clever method for solving the quantum version of this system, using raising and lowering operators.  
harmonic oscillator (prompt on simple harmonic motion)