| 11. | For an " N "-electron system, the Slater determinant is defined as
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| 12. | In the same way, the use of Slater determinants ensures conformity to the Pauli principle.
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| 13. | Indeed, the Slater determinant vanishes if the set { ? i } is linearly dependent.
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| 14. | Mathematically, a Slater determinant is an antisymmetric tensor, also known as a wedge product.
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| 15. | The resulting overall wave functions, called spin-orbitals, are written as Slater determinants.
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| 16. | A single Slater determinant is used as an approximation to the electronic wavefunction in Hartree Fock theory.
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| 17. | This notation means that the corresponding Slater determinants have a clear higher weight in the configuration interaction expansion.
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| 18. | Within Hartree Fock theory, the wave function is approximated as a Slater determinant of spin-orbitals.
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| 19. | The total wave function can then be written as a Slater determinant of these single-particle orbitals.
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| 20. | This means, the \ phi taken to approximate \ psi should be a Slater determinant wave function.
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