I How can I confirm Lz=ħ,0,-ħ using operators and eigenfunctions?

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Hi,
I have a question
Given the function
LzYilm(θ,ϕ) =mħYilm(θ,ϕ)
What steps can I take to confirm that
Lz=ħ,0,-ħ
 
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kenyanchemist said:
I have a question
Given the function
LzYilm(θ,ϕ) =mħYilm(θ,ϕ)
What steps can I take to confirm that
Lz=ħ,0,-ħ

you are writing an eigen value equation for the z component of angular momentum operator called Lz
Ylm are spherical harmonics which are eigen functions of L^2 and Lz
if L=1 then m can take values +1, 0, -1 so the possible eigen values will be -h bar, 0, hbar

now you are asking what steps to confirm - then you can write the form of Lz and apply on spherical harmonics with l=1 and see what possible values comes out from eigen value equation.
 
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Umm... how do I go about that?! Please understand am like super new on quantum mechanics
Please show me :cry::cry:
 

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