Why is the velocity of the holes the same as the electrons and but the mass negative?
If the energy is negative because it is an hole shouldn’t the velocity also be negative?
Or should I see It like this:
v_e=\hbar^{-1}\frac{\partial}{\partial k}E=\hbar^{-1}\frac{\partial}{\partial k}(-E_h)=v_h
But when this is the case than m^*_e=m^*_h right?
This is because hole momentum (or equivalently hole wave vector) is the opposite of the electron momentum.
Yes, that is also the explaination in the lecture notes. But how can I see this from the v=\hbar\frac{\delta E}{\delta k} alone, what substitution should I make when calculating it for holes. Because I don’t see one that would cause v to be the same, and m* to be the opposite.