where ⟨ ⟨ p i | ϕ ϕ ~ ~ j ⟩ ⟩ = δ δ i j . The all-electron partial waves, | ϕ ϕ i ⟩ ⟩ = T | ϕ ϕ ~ ~ i ⟩ ⟩ , are typically chosen to be solutions to the Kohn–Sham Schrödinger equation for an isolated atom. The transformation T is thus specified by three quantities: