Register to reply 
Deriving the square angular momentum in spherical coordinates 
Share this thread: 
#1
Dec611, 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: http://en.wikipedia.org/wiki/Angular...al_coordinates 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 


#2
Dec711, 12:26 PM

Sci Advisor
HW Helper
P: 11,896

You just need the chain rule of partial differentiation and a use of spherical coordinates...No binomial formulae needed.



Register to reply 
Related Discussions  
Spherical Harmonics/Angular Momentum  Advanced Physics Homework  1  
Spherical harmonics, angular momentum, quantum  Advanced Physics Homework  3  
Deriving gradient in spherical coordinates  Calculus & Beyond Homework  18  
Deriving laplacian in spherical coordinates  Advanced Physics Homework  3  
Angular velocity  spherical coordinates  Introductory Physics Homework  7 