Quantum Mechanics

Mathematics of the Slater Determinant

This post, largely based on Reference 1, is about the Slater determinant. The Slater determinant is related to the Hartree Product. In that post, it was determined that a Hartree Product does not meet the antisymmetry principle. The Slater determinant is one way to fix this problem. John C. Slater, developer of the Slater determinant. Two Electrons …

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Hartree Product

In quantum chemistry, a wave function for a single electron is called an orbital or a spin orbital, but what could be a wave function for several electrons? [1] One option is related to the Hartree Product. Douglas Hartree, a contributor to the field of quantum chemistry. Noninteracting System According to Attila Szabo and Neil …

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Development of the Slater Determinant

Introduction What is a Slater Determinant, and how was it developed? At least part of the answer can be found in a book called ‘Modern Quantum Chemistry’ [1]. In order to address this question it is necessary to study the Pauli Exclusion Principle and the antisymmetry principle. The following content is based on chapter 2 …

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