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,

: $\varphi_j(2)$ 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

{{DEFAULTSORT:Coulomb Operator
Quantum chemistry
Theoretical chemistry
Computational chemistry