Quantum Physics For Dummies by Holzner Steve

Author:Holzner, Steve [Holzner, Steve]
Language: eng
Format: epub
Publisher: Wiley
Published: 2013-07-22T14:00:00+00:00

So Lz|1, –1> = –ℏ|1, –1>.

Now what about finding the Lx and Ly operators? That’s not as hard as you may think, because

and

Take a look at Lx first. L+ equals

And L– equals

So Lx equals:

Okay, now what about Ly? , so:

Cool. This is going pretty well — how about calculating [Lx, Ly]? To do that, you need to calculate [Lx, Ly] = LxLy – LyLx. First find LxLy:

This equals

And similarly, LyLx equals

And this equals

So

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