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mat8845
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Homework Statement
An electron in a hydrogen atom is in a state described by the wave function:
ψ(r,θ,φ)=R(r)[cos(θ)+eiφ(1+cos(θ))]
What is the probability that measurement of L2 will give 6ℏ2 and measurement of Lz will give ℏ?
Homework Equations
The spherical harmonics
The Attempt at a Solution
I know that I need to express the part in (θ,φ) as a linear combination of spherical harmonics. Then I would normalize my wave function, and the coefficients would lead me to the probability I need.
My problem is to express ψ in terms of the spherical harmonics Ylm. Is there a general method to do so? Thanks.