Hartree–Fock method
Approximation method in quantum physics
Approximation method in quantum physics
In computational physics and chemistry, the Hartree–Fock (HF) method is used for approximating the wave function and the energy of a quantum many-body system in a stationary state. It is named after Douglas Hartree and Vladimir Fock. The Hartree–Fock method often assumes that the exact N {\displaystyle N} -body wave function of the system can be approximated by a single Slater determinant (in the case where the particles are fermions) or by a single permanent (in the case of bosons) of N {\displaystyle N} spin-orbitals. By invoking the variational method, one can derive a set of N {\displaystyle N} coupled equations for the N {\displaystyle N} spin orbitals. A solution of these equations yields the Hartree–Fock wave function and energy of the system. Hartree–Fock approximation is an instance of mean-field theory, where...
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