Question

b) How velocity of a particle can be defined in Quantum mechanics? Derive a relation for it. What information can be obtained from this velocity about momentum operator of the particle?

Answer 1

Answer

Velocity operator can be define as momentum operator divided by mass of partical.

Momentum operator can be given as

$\hat{p}=\frac{\hbar}{i}\frac{\partial}{\partial x}$

And velocity operator

$\hat{v}=\frac{\hat{p}}{m}=$ $\frac{\hbar}{im}\frac{\partial}{\partial x}$