Let's Talk Quantum Mechanics

In this second episode, I build upon the equations for expectation values from the previous (first) episode to derive Ehrenfest's theorem and its generalization. I also discuss some basic properties of operators and commutators.

In the third episode, I derive the famous Heisenberg's uncertainty for position and momentum. Using this, I then derive what is known as a minimum uncertainty wave packet. We explore together a wide variety of mathematics, and in particular, demonstrate applications involving expectation value calculations.