Properties and $N$-representability conditions of the two-body density matrix

Nicholas Cox

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arXiv · 2112.11405

Properties and $N$-representability conditions of the two-body density matrix

Nicholas Cox

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Abstract

A summary is presented of the properties of the coefficient matrices formed by expanding the two-body reduced density matrix in a complete set of two-electron wave functions. Calculating the relationship between the many electron wave function and these so-called two-body density matrices enables the derivation of necessary $N$-representability conditions that ensure a given matrix obeys the postulates of many-body quantum mechanics.

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Nicholas Cox. 2021-12-21. Properties and $N$-representability conditions of the two-body density matrix. https://arxiv.org/abs/2112.11405

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