Recent content by LolWolf

Actually, I realized it was even easier than that, but thank you! Consider the case in momentum-space rather than position-space, and this reduces nicely using elementary operations.

Homework Statement Given the operators \hat{x}=x\cdot and \hat{p}=-i\hbar \frac{d}{dx}, prove that: [\hat{x}, g(\hat{p})]=i\hbar \frac{dg}{d\hat p}Homework Equations None. The Attempt at a Solution I have very little idea on how to begin this problem, but I don't want a solution, I simply...

Oh, awesome, thanks for the replies! All right, now it comes to make more sense, esp. since we are defining the unity within the first expression to be the identity function. Which makes it actually valid. Cool, thanks for the help. As for the power series, yeah, that makes sense, didn't even...

Oh, that's pretty cool, thanks for the explanation. And, yeah, I was told it was justified, although this was confusing (albeit hysterical) notation. Anyways, how is it expressible using bra-ket notation? Just out of curiosity, since I only have an understanding of it in terms of...

I personally recommend, for a very thorough introduction into multiple models of Macroeconomics: Macroeconomic Theory: Economic Theory, Econometrics, and Mathematical Economics by Thomas J. Sargent. Just have a very good working knowledge of your differential equations, in order to fully...

Hello! First post, over here, hopefully it'll pique some interest, and awesome answers, but any and all answers are welcome! So, point is, we were given a guest lecture over how to 'jokingly' find answers to specific problems using methods that appear to not be justified; now, after the...