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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:
is the one-electron Coulomb operator defining the repulsion resulting from electron j,
is the one-electron wavefunction of the electron being acted upon by the Coulomb operator,
is the one-electron wavefunction of the electron,
is the distance between electrons and .
- Ramachandran, K. I. (2008). Computational chemistry and molecular modeling : principles and applications. G. Deepa, K. Namboori. Berlin: Springer. p. 107. ISBN 978-3-540-77304-7. OCLC 272298712.