Coulomb operator

$widehat\; J\_j\; (1)\; f(1)=\; f(1)\; int\; \{\; left\; |\; varphi\_j(2)\; right\; |\; \}^2\; frac\{1\}\{r\_\{12\}\},dv\_2$

where

$widehat\; J\_j\; (1)$ is the one-electron Coulomb operator defining the repulsion resulting from electron j,

f(1) is a one-electron wavefunction being acted upon by the Coulomb operator,

$varphi\_j(2)$ is the one-electron wavefunction of the jth electron,

$r\_\{12\}$ is the distance between electrons 1 and 2.

See also

• Core Hamiltonian
• Exchange operator