Nanomechanics is barely mechanical quantummechanics

Reciprocative linear motion

The uncertainty relation:

$$\Delta x \Delta p \geq h \quad$$ Newton: $$\Delta E = \frac{\Delta p^2}{2m} \quad$$ Equipartitioning: $$E_T = \frac{1}{2}k_BT \quad$$ Quantumness: $$Q = \frac{\Delta E}{E_T}$$
Quantumness: $$Q = \frac{h^2}{k_B} \frac{1}{m \Delta x^2 T}$$