Prob(x_{0} < x < x_{0} + dx) = |Ψ(x_{0})|^{2}dx

\begin{aligned}Prob(r_{0} < r < r_{0} + dr) & = |Ψ(r_{0})|^{2}dV \\ & = |Ψ(r_{0})|^{2}r^{2}dr \end{aligned}

Prob(R_{1} < r < R_{2}) = ∫_{R_{1}}^{R_{2}}|Ψ(r)|^{2}r^{2}dr

E = −\frac{h̄^{2}}{2ma^{2}} = −\frac{m_{e}^{2}e^{4}}{32π^{2}ϵ_{0}^{2}h̄^{2}}