Nanomechanics is barely mechanical quantummechanics

Reciprocative linear motion

The uncertainty relation: [math]\displaystyle{ \Delta x \Delta p \geq h \quad }[/math] Newton: [math]\displaystyle{ \Delta E = \frac{\Delta p^2}{2m} \quad }[/math] Equipartitioning: [math]\displaystyle{ E_T = \frac{1}{2}k_BT \quad }[/math] Quantumness: [math]\displaystyle{ Q = \frac{\Delta E}{E_T} }[/math]
Quantumness: [math]\displaystyle{ Q = \frac{h^2}{k_B} \frac{1}{m \Delta x^2 T} }[/math]