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Benedict Irwin edited Slater Determinants.tex
over 9 years ago
Commit id: 737b6fdf17f08feaf689442876844d59b48addc6
deletions | additions
diff --git a/Slater Determinants.tex b/Slater Determinants.tex
index f02cc44..7069057 100644
--- a/Slater Determinants.tex
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For growing numbers of electrons these states can be expressed in terms of the old states. \begin{equation}
\Psi(r_1_=\phi_1(r_1) \Psi(r_1)=\phi_1(r_1) \\
\sqrt{2}\Psi(r_1,r_2)=\phi_1(r_1)\phi_2(r_2)-\pho_2(r_1)\phi_1(r_2) \sqrt{2}\Psi(r_1,r_2)=\phi_1(r_1)\phi_2(r_2)-\phi_2(r_1)\phi_1(r_2) = \Psi(r_1)\phi_2(r_2)-\phi_2(r_1)\Psi(r_2) \\
\sqrt{6}\Psi(r_1,r_2,r_3)=\dots=\Psi(r_1,r_2)\phi_3(r_3)+\Psi(r_2,r_3)\phi_3(r_1)+\Psi(r_3,r_1)\phi_3(r_2)
\end{equation}