Deriving the square angular momentum in spherical coordinates

by Raziel2701
Tags: angular, coordinates, deriving, momentum, spherical, square
Raziel2701 is offline
Dec6-11, 10:59 PM
P: 129
1. The problem statement, all variables and given/known data
I want to derive the square of the total angular momentum as shown here:

2. Relevant equations

The x,y, and z components of angular momentum are shown in the above link. I'm attempting to solve it by [tex]L^2=(L_x)^2 + (L_y)^2+(L_z)^2[/tex]

3. The attempt at a solution
I think my problem is that I do not know how to deal with those partial differential operators. How do you go about squaring that binomial term that has differential operators? I think that's what I need to know and I don't know what to google to look for it.

Thank you.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
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dextercioby is offline
Dec7-11, 12:26 PM
Sci Advisor
HW Helper
P: 11,866
You just need the chain rule of partial differentiation and a use of spherical coordinates...No binomial formulae needed.

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