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Explicit form of Pauli potential for direct derivation of pair density from a two-particle differential equation for the quintet state of four electrons with harmonic interparticle interactions |
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| Authors: | A Akbari C Amovilli N H March A Rubio |
| Institution: | 1. Departamento de Fisica de Materiales, Facultad de Químicas, UPV/EHU, Apdo 1072, 20080, San Sebastián, Spain 2. Donostia International Physics Center, Paseo Manuel de Lardizabal 4, 20018, San Sebastián, Spain 3. Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via Risorgimento 35, 56126, Pisa, Italy 4. Department of Physics, University of Antwerp, Groenenborgerlaan 171, 2020, Antwerp, Belgium 5. Oxford University, Oxford, UK |
| Abstract: | Recently, an analytic two-particle density matrix (2DM) has been derived for the quintet state of four electrons interacting via two-body harmonic forces. Here we use this 2DM to extract the exact pair density $\Gamma (\mathbf{r}_1,\mathbf{r}_2)$ . This is then employed in the known two-particle partial differential equation for the pair density amplitude to extract the Pauli potential $v_P(\mathbf{r}_1,\mathbf{r}_2)$ for this quintet state. |
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