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Slater determinant : ウィキペディア英語版 | Slater determinant In quantum mechanics, a Slater determinant is an expression that describes the wavefunction of a multi-fermionic system that satisfies anti-symmetry requirements and consequently the Pauli principle by changing sign upon exchange of two electrons (or other fermions).〔Molecular Quantum Mechanics Parts I and II: An Introduction to QUANTUM CHEMISTRY (Volume 1), P.W. Atkins, Oxford University Press, 1977, ISBN 0-19-855129-0〕 It is named for its discoverer, John C. Slater, who published Slater determinants as a means of ensuring the antisymmetry of a wave function through the use of matrices. But actually the wave function in the determinant form first appeared in Dirac's paper. The Slater determinant arises from the consideration of a wave function for a collection of electrons, each with a wave function known as the spin-orbital, , where denotes the position and spin of the singular electron. Two electrons within the same spin orbital result in no wave function. == Resolution ==
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