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**1. Homework Statement**

Consider a Wavefunction:

[tex]\psi(x,y,z)=K(x+y+x^2-y^2)e^{-r/a}[/tex]

Find expectation value of [tex] L^{2} , L_{z}^{2}, L_{x}^{2}[/tex].

**2. Homework Equations**

**3. The Attempt at a Solution**

The first step would be a rewriting a wavefunction in terms of spherical coordinates:

[tex]\psi=Kr(\cos\phi \sin \theta + 2 \sin \phi \cos \theta +r(\cos^{2} \phi \sin^{2} \theta - \sin^{2} \phi \sin^{2} \theta )) [/tex]

My Question is : is it fair to skip the radial part and just forget about it. Normalize the Wavefunction for just the angular part , and then consider a mean values of Angular Momentum Operators ? Or should i normalize the wavefunction including r ? It bothers me because of the r squared in the equation.