Uploaded February 2019 | Updated September 2026, 1 week ago
So you're representing a wavefunction as a numpy array of (possibly) complex numbers. How do you compute expectation values? Here's how!
So you're representing a wavefunction as a numpy array of (possibly) complex numbers. How do you compute expectation values? Here's how!





![A simple Op-amp model with a voltage controlled voltage source.
How to understand an op-amp voltage follower using an idealized voltage controlled voltage source. How does the math work out? (Note there is an error in an equation here at ~5:16, but its pretty obvious. It should be:
[V = E V_+ - E V ] A simple Op-amp model with a voltage controlled voltage source.](https://i.ytimg.com/vi/b2mEdiQL2G0/mqdefault.jpg)




