For this problem we consider ϕ1,0,0(x,y,z)=C1e−rho,ϕ2,0,0(x,y,z)=C2(2−rho)e−2rho,ϕ2,1,0(x,y,z)=C3rhocos(θ)e−2rho, where rho,φ,θ correspond to the spherical coordinates, as defined in Section 15.8. Those three functions are all real functions. The probability to find the electron at a point (x,y,z) is given through fn,l,m(x,y,z)=∣ϕn,l,m(x,y,z)∣2. (a) The probability to find the electron somewhere in space must be one, thus ∭R3fn,l,m(x,y,z)dV=1. Use that equation to determine C1.
