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Slater determinant
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== As an approximation == Most fermionic wavefunctions cannot be represented as a Slater determinant. The best Slater approximation to a given fermionic wave function can be defined to be the one that maximizes the [[orbital overlap|overlap]] between the Slater determinant and the target wave function.<ref>{{ cite journal|doi=10.1103/PhysRevA.89.012504 | title=Optimal multiconfiguration approximation of an ''N''-fermion wave function |first1=J. M. |last1=Zhang | first2 = Marcus | last2 = Kollar |page=012504 | volume=89 |year=2014 |journal= Physical Review A | issue=1 |arxiv = 1309.1848 |bibcode = 2014PhRvA..89a2504Z| s2cid=17241999 }}</ref> The maximal overlap is a geometric measure of [[quantum entanglement|entanglement]] between the fermions. A single Slater determinant is used as an approximation to the electronic wavefunction in [[Hartree–Fock method|Hartree–Fock theory]]. In more accurate theories (such as [[configuration interaction]] and [[MCSCF]]), a linear combination of Slater determinants is needed.
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