A ** Slater determinant** represents a multi-electron wavefunction that satisfies the Pauli exclusion principle. It was named after the American physicist John Slater for his contribution to quantum mechanics.

The normalised anti-symmetric wavefunction for an *n*-electron system with ** spin-orbitals** can be expressed as , where and is the antisymmetriser. From eq59 and 62,

Comparing the above equation with the definition of a determinant, i.e. , we have or

which is called an *n*-electron Slater determinant.

Since (see this article for proof), the Slater determinant can also be written as