Answer to Question #216383 in Quantum Mechanics for Aadi

Question #216383
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?
1
Expert's answer
2021-07-13T11:39:18-0400

Answer


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

Momentum operator can be given as

p^=ix\hat{p}=\frac{\hbar}{i}\frac{\partial}{\partial x}


And velocity operator can be obtain as

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


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