(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have to show that in 3-d, Lx (angular momentum) is Hermitian.

2. Relevant equations

In order to be Hermitian: Integral (f Lx g) = Integral (g Lx* f)

Where Lx=(hbar)/i (y d/dz - z d/dy)

and f and g are both well behaved functions: f(x,y,z) and g(x,y,z)

3. The attempt at a solution

I know to do this I have to do integration by parts. I got to the point where I had to figure out, using integration by parts,: Integral [f(x,y,z) y (dg(x,y,z)/dz) dx]

And I cannot figure this out :(

I set:

u=f(x,y,z) y

dv=(dg(x,y,z)/dz) dx

So then I get: du=[df(x,y,z)/dx]y + f(x,y,z)

But what is v then?? Unless I'm completely off-track already, in which case, help would be great!

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# Homework Help: Show Lx is Hermitian

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