A few questions:
Q1) How does 1.29 flow to 1.30 and 1.31? How was the integral-by-parts done?
Q2) The author states that <v> = d<x>/dt represents the expectation value of velocity. What does this actually mean? I tried to rationalise that d<x>/dt represented the velocity at which the average position of the particle was moving about as time progressed. Does it make any sense?
Q3) If my understanding in 2 is right, would <p> then be the momentum associated with the motion of the average position <x>?
Apologies if I'm not making much sense, I'm just starting to properly learn some QM.
Thanks in advance!