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arxiv: quant-ph/0406069 · v1 · submitted 2004-06-10 · 🪐 quant-ph

Exact norm-conserving stochastic time-dependent Hartree-Fock

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keywords time-dependentequationexactmethodstochasticbosonscalculatedecomposition
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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.

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