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Hartree–Fock method

Approximation method in quantum physics

Hartree–Fock method

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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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