**Computational Chemistry**

The Hartree self-consistent field method

Lagrange method of undetermined multipliers

Proof of the Hartree equations

Numerical solution of the Hartree self-consistent field method for He

The angle between two vectors in spherical coordinates

The expansion of \(\frac{1}{r_{ij}}\) (the reciprocal of the inter-electron distance)

Analytical solution of the energy equation for He using the Hartree self-consistent field method

Properties of the antisymmetriser

Slater determinant of unitarily transformed spin orbitals

Slater-Condon rule for a one-electron operator

Slater-Condon rule for a two-electron operator

Proof of the Hartree-Fock equations

Canonical Hartree-Fock equations

Analytical solution of the energy equation for Li using the Hartree-Fock method

Analytical solutions of the Hartree-Fock method for Be, B and C

Solution of the Hartree-Fock-Roothaan equations for helium