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Sep 5, 2016 at 5:13 comment added knzhou With a little practice, though, you'll be able to do this as fast as you can write. It looks like there are a lot of rules, but I already used almost every rule there is in my answer! There's not too much to learn beyond that.
Sep 5, 2016 at 5:13 comment added knzhou @VladimirVargas Yeah, usually people start with flippiefanus's picture. (Note, however, that his expression $\hat{p} = -i\hbar \partial_x$ only works if all functions are position-space coefficients, which can be confusing if you want to, say, switch between position space and momentum space.)
Sep 5, 2016 at 5:08 comment added Vladimir Vargas Oh, I see! Maybe practice will give me that third eye to see things more quickly. Although now I'm not sure that the notes I'm reading are the best for a quantum mechanics beginner. Thank you very much.
Sep 5, 2016 at 5:00 history edited knzhou CC BY-SA 3.0
added 1081 characters in body
Sep 5, 2016 at 4:50 comment added knzhou @VladimirVargas Yeah, I made a jump there. I'll edit in a justification.
Sep 5, 2016 at 4:47 vote accept Vladimir Vargas
Sep 5, 2016 at 4:47 comment added Vladimir Vargas Hi, it is not very clear to me why $\hat{p}$ enters the integral and acts only on the coefficient of $|x'\rangle$. Thank you for your excellent answer.
Sep 5, 2016 at 4:37 history answered knzhou CC BY-SA 3.0