For 10 points, name this simple quantum system that is an analog of the classical masses connected by a spring.
This model's energy is added to the energy of the rigid rotor to model rovibrionic coupling, and using an exponential Morse potential with this system gives more accurate results in IR spectroscopy. Taking the higher-order terms of the Taylor expansion of the potential of this system allows for modeling anharmonic effects, and this system's wavefunction contains a Hermite polynomial. The energy levels of this system are proportional to the (*) quantum number plus one half. Diatomic molecules are commonly modeled using this system, whose energy levels are evenly spaced and whose potential is a parabola given by Hooke's Law. For 10 points, name this simple quantum system that is an analog of the classical masses connected by a spring.
This model's energy is added to the energy of the rigid rotor to model rovibrionic coupling, and using an exponential Morse potential with this system gives more accurate results in IR spectroscopy.
quantum harmonic oscillator [or QHO; accept quantum harmonic oscillator after \"quantum\" is read]