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1. Problem statement
This isn't a homework question itself, but is related to one. More specifically, I'm computing the time-derivative of [tex]\langle x \rangle[/tex] using the correspondence principle. One side simplifies to [tex]\left\langle \frac{\hat{p}}{m} \right\rangle[/tex], but what is the physical meaning of this? How does one compute the expectation value of an operator? The concept is alien to me.
[tex]\langle Q \rangle = \int_{-\infty}^{\infty}\Psi^* \hat{Q} \Psi \; dx[/tex]
[tex]\langle \hat{Q} \rangle = ?[/tex]
This isn't a homework question itself, but is related to one. More specifically, I'm computing the time-derivative of [tex]\langle x \rangle[/tex] using the correspondence principle. One side simplifies to [tex]\left\langle \frac{\hat{p}}{m} \right\rangle[/tex], but what is the physical meaning of this? How does one compute the expectation value of an operator? The concept is alien to me.
Homework Equations
[tex]\langle Q \rangle = \int_{-\infty}^{\infty}\Psi^* \hat{Q} \Psi \; dx[/tex]
[tex]\langle \hat{Q} \rangle = ?[/tex]