electron correlation

Electron correlation in physics refers to the fact that electrons in an atom or molecule are not independent entities. Due to their mutual electrostatic repulsion, their motions are linked, meaning the position of one electron influences the probability of finding another electron in a certain location. This complex interaction cannot be precisely solved for atoms with more than one electron using the Schrödinger equation alone.1

Approximation methods, such as the Hartree-Fock method, are used to account for these correlations. These methods treat each electron as moving in an average electric field created by the nucleus and other electrons, effectively ignoring the instantaneous correlations between them. Corrections are then applied to account for the strength of these electron-electron correlations. This concept is fundamental to understanding the electronic structure of atoms and molecules, influencing properties like chemical bonding and the behavior of electrons in solids.12