Exchange operator

The Exchange operator, 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 Exchange operator,

f(1),f(2) are the one-electron wavefunction being acted upon by the Exchange operator as functions of the positions of electron 1 and electron 2,

φ_j(1),φ_j(2) are the one-electron wavefunction of the j-th electron as functions of the positions of electron 1 and electron 2,

r₁₂ is the distance between electrons 1 and 2.

See also

• Core Hamiltonian

• Coulomb operator