Nanomechanics is barely mechanical quantummechanics

Reciprocative linear motion

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