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4-b. Particles in a single spin state

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Let us return to the particular case of fermions all having the same spin state, as in § 1 of Complement EXV. We can then write the Hartree-Fock equations in terms of the wave functions as:

(37)

using definitions of (46) of that complement for the direct and exchange potentials, which are now time-dependent. There is obviously a close relation between the Hartree-Fock equations, whether they are time-dependent or not.

Quantum Mechanics, Volume 3

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