Aufenthaltswahrscheinlichkeitsdichte der Elektronen mit n=3 und l=2

me = 9.1093897*10^(-31); μ := 
      65.409*1.660540*10^-27*
        me/(65.409*1.660540*10^-27 + me); (Subscript[ϵ, 0]) = 
      8.854188*10^(-12);

el := 1.602177*10^-19; h := 6.626076*10^-34; 
    hbar := h/2/π; n := 3; Z := 30; l := 2

(Subscript[a, 0]) = 4 π (Subscript[ϵ, 0])/((el^2) μ) (hbar^2); ρ := 
      r  2 Z/(n (Subscript[a, 0]))

(Subscript[R, nl]) = -((((2 Z/n/(Subscript[a, 0])))^3) (n - l - 
                        1)!/(2 n ((((n + 1)!))^3))) (ρ^l) LaguerreL[n + 1, 
            2  l + 1, ρ] Exp[-ρ/2];

FullSimplify[
      Sum[Abs[SphericalHarmonicY[2, m, θ, φ]]^2, {m, -2, 2}], 
      Assumptions -> {θ ∈ Reals, φ ∈ 
            Reals}]

Abs[(Subscript[R, nl])]^2 FullSimplify[
        Sum[Abs[SphericalHarmonicY[2, m, θ, φ]]^2, {m, -2, 2}], Assumptions -> {θ ∈ 
              Reals, φ ∈ Reals}]