Méthode de Schmidt.

Les membres de l'ensemble orthonormal $\lbrace \vert\psi \rangle \rbrace$ sont calculés successivement.

$$\vert \psi_1 \rangle ={\vert \varphi_1 \rangle \over\langle \varphi_1 \vert \varphi_1 \rangle ^{1/2}}$$ (1.78)

$$\vert \psi_2 \rangle = {\vert \varphi_2 \rangle -\vert \psi_... ...\rangle \langle \psi_1 \vert \varphi_2 \rangle \rbrace^{1/2}}$$ (1.79)

$$\vert \psi_j \rangle ={\vert \psi_j \rangle - \sum\limits_{i... ...\rangle \langle \psi_i \vert \varphi_j \rangle \rbrace^{1/2}}$$ (1.80)