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Exact norm-conserving stochastic time-dependent Hartree-Fock

arXiv:quant-ph/0406069 · doi:10.1088/0305-4470/38/4/013

Abstract

We derive an exact single-body decomposition of the time-dependent Schroedinger equation for N pairwise-interacting fermions. Each fermion obeys a stochastic time-dependent norm-preserving wave equation. As a first test of the method we calculate the low energy spectrum of Helium. An extension of the method to bosons is outlined.

21 pages, 3 figures, LaTeX file