Quantum thrust and Rotckets

 $$T=v\frac{dm}{dt}$$

$$E=\hbar\omega, \ E=mc^2$$

$$T=\frac{\hbar}{c}\dot{\omega}$$

$$\textbf{L}=I\boldsymbol{\omega}$$

$$\boldsymbol{\tau}=\frac{d\textbf{L}}{dt}=I\boldsymbol{\alpha}+\boxed{\boldsymbol{\omega}\frac{dI}{dt}}$$

so

$$\boxed{\textbf{T}_{\boldsymbol{\tau}}=\boldsymbol{\omega}\frac{dI}{dt}}$$

Rotcket equation

$$\Delta\omega=\omega_e \ln\frac{I_0}{I_f}$$