1. The problem statement, all variables and given/known data 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? 2. Relevant equations The spherical harmonics 3. 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.