Exploring the Quantum Oscillator Model for Diatomic Molecules

[learning_phys]

if the quantum oscillator was used to describe a diatomic molecule, then at T=0, the molecule shouldn't be vibrating at all. but using the quantum oscillator model, the molecule still has a minimum energy at its ground state related to its zero point energy. does this mean a molecule at T=0 DOES vibrate still?

 

[mangoo87]

In my opinion:
This implies that molecules are not completely at rest, even at 0K. Zero point energy = minimal energy of oscillation. On the other hand 0K means no kinetic energy, so we cannot achieve 0K.

 

[learning_phys]

then could you explain this solution:
http://grephysics.net/ans/8677/87