One of the results arising from quantum mechanics is that energy is quantized for a particle. In particular, the translational energy levels are quantized.
- Is it fair to say that the translational energy levels of a macroscopic object are also quantized, but in such a way that the degree of separation between the energy levels is negligible ?
Additional Information:
My understanding of the translational energy of a particle is that, it can only occupy a discrete set of energy levels.
For example if we were to model the particle moving along the positive part of $x$ axis, its translational energy levels would be more akin to
$$f(x)=\lfloor{x} \rfloor$$ rather than $$f(x)=x$$.
Is this interpretation correct?
