Normalizable wave function A wave function | α ′ ⟩ {\displaystyle |\alpha '\rangle } is said to be normalizable if ⟨ α ′ | α ′ ⟩ < ∞ {\displaystyle \langle \alpha '|\alpha '\rangle <\infty } . A normalizable wave function can be made to be normalized by | a ′ ⟩ → α = | α ′ ⟩ ⟨ α ′ | α ′ ⟩ {\displaystyle |a'\rangle \to \alpha ={\frac {|\alpha '\rangle }{\sqrt {\langle \alpha '|\alpha '\rangle }}}} .