The TDHF approximation for Hamiltonians with m-particle interaction potentials

According to a theory of H. Spohn, the time-dependent Hartree (TDH) equation governs the 1-particle state in N-particle systems whose dynamics are prescribed by a non-relativistic Schrödinger equation with 2-particle interactions, in the limit N tends to infinity while the strength of the 2-particle interaction potential is scaled by 1/N. In previous work we have considered the same mean field scaling for systems of fermions, and established that the error of the time-dependent Hartree-Fock (TDHF) approximation tends to 0 as N tends to infinity. In this article we extend our results to systems of fermions with m-particle interactions (m > 2).