Coulomb Operator

The Coulomb operator, named after Charles-Augustin de Coulomb, is a quantum mechanical operator used in the field of quantum chemistry. Specifically, it is a term found in the Fock operator. It is defined as:

$\widehat J_j (1) f_i(1)= f_i(1) \int ^2 \frac\,dr_2$

where

$\widehat J_j (1)$ is the one-electron Coulomb operator defining the repulsion resulting from electron ''j'',

$f_i(1)$ is the one-electron wavefunction of the $i^$ electron being acted upon by the Coulomb operator,

$\varphi_j(1)$ is the one-electron wavefunction of the $j^$ electron,

$r_$ is the distance between electrons $(i)$ and $(j)$.

See also

*Core Hamiltonian
*Exchange operator

References

Quantum chemistry
Theoretical chemistry
Computational chemistry

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