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:

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where

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,

is the one-electron wavefunction of the jth electron,

r₁₂ is the distance between electrons 1 and 2.

See also

• Core Hamiltonian
• Exchange operator